Finding the Third Proportional to 510,837.50 and 766,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   510,837.50 : 766,256.50 = 766,256.50 : x
2. Step 2: Convert to fraction form
   510,837.50/766,256.50 = 766,256.50/x
3. Step 3: Cross multiply
   510,837.50x = 766,256.50 × 766,256.50
4. Step 4: Simplify right side
   510,837.50x = 587,149,023,792.25
5. Step 5: Solve for x
   x = 587,149,023,792.25/510,837.50
6. Step 6: Final answer
   x = 1,149,385.13