Finding the Third Proportional to 1,191,404,214,440 and 1,671,775,962,924

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191,404,214,440 : 1,671,775,962,924 = 1,671,775,962,924 : x
2. Step 2: Convert to fraction form
   1,191,404,214,440/1,671,775,962,924 = 1,671,775,962,924/x
3. Step 3: Cross multiply
   1,191,404,214,440x = 1,671,775,962,924 × 1,671,775,962,924
4. Step 4: Simplify right side
   1,191,404,214,440x = 2,794,834,870,210,467,681,271,808
5. Step 5: Solve for x
   x = 2,794,834,870,210,467,681,271,808/1,191,404,214,440
6. Step 6: Final answer
   x = 2,345,832,620,311.94