Finding the Third Proportional to 510,435 and 783,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   510,435 : 783,499.50 = 783,499.50 : x
2. Step 2: Convert to fraction form
   510,435/783,499.50 = 783,499.50/x
3. Step 3: Cross multiply
   510,435x = 783,499.50 × 783,499.50
4. Step 4: Simplify right side
   510,435x = 613,871,466,500.25
5. Step 5: Solve for x
   x = 613,871,466,500.25/510,435
6. Step 6: Final answer
   x = 1,202,643.76