Finding the Third Proportional to 508,071 and 766,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   508,071 : 766,411.50 = 766,411.50 : x
2. Step 2: Convert to fraction form
   508,071/766,411.50 = 766,411.50/x
3. Step 3: Cross multiply
   508,071x = 766,411.50 × 766,411.50
4. Step 4: Simplify right side
   508,071x = 587,386,587,332.25
5. Step 5: Solve for x
   x = 587,386,587,332.25/508,071
6. Step 6: Final answer
   x = 1,156,111.23