Finding the Third Proportional to 77,570 and 117,003

Step by Step Solution

1. Step 1: Write the proportion equation
   77,570 : 117,003 = 117,003 : x
2. Step 2: Convert to fraction form
   77,570/117,003 = 117,003/x
3. Step 3: Cross multiply
   77,570x = 117,003 × 117,003
4. Step 4: Simplify right side
   77,570x = 13,689,702,009
5. Step 5: Solve for x
   x = 13,689,702,009/77,570
6. Step 6: Final answer
   x = 176,481.91