Finding the Third Proportional to 510,829.50 and 766,245

Step by Step Solution

1. Step 1: Write the proportion equation
   510,829.50 : 766,245 = 766,245 : x
2. Step 2: Convert to fraction form
   510,829.50/766,245 = 766,245/x
3. Step 3: Cross multiply
   510,829.50x = 766,245 × 766,245
4. Step 4: Simplify right side
   510,829.50x = 587,131,400,025
5. Step 5: Solve for x
   x = 587,131,400,025/510,829.50
6. Step 6: Final answer
   x = 1,149,368.63