Finding the Third Proportional to 510,056 and 787,028.50

Step by Step Solution

1. Step 1: Write the proportion equation
   510,056 : 787,028.50 = 787,028.50 : x
2. Step 2: Convert to fraction form
   510,056/787,028.50 = 787,028.50/x
3. Step 3: Cross multiply
   510,056x = 787,028.50 × 787,028.50
4. Step 4: Simplify right side
   510,056x = 619,413,859,812.25
5. Step 5: Solve for x
   x = 619,413,859,812.25/510,056
6. Step 6: Final answer
   x = 1,214,403.63