Finding the Third Proportional to 1,214,174 and 1,781,895

Step by Step Solution

1. Step 1: Write the proportion equation
   1,214,174 : 1,781,895 = 1,781,895 : x
2. Step 2: Convert to fraction form
   1,214,174/1,781,895 = 1,781,895/x
3. Step 3: Cross multiply
   1,214,174x = 1,781,895 × 1,781,895
4. Step 4: Simplify right side
   1,214,174x = 3,175,149,791,025
5. Step 5: Solve for x
   x = 3,175,149,791,025/1,214,174
6. Step 6: Final answer
   x = 2,615,069.83