Finding the Third Proportional to 503,024 and 785,153.75

Step by Step Solution

1. Step 1: Write the proportion equation
   503,024 : 785,153.75 = 785,153.75 : x
2. Step 2: Convert to fraction form
   503,024/785,153.75 = 785,153.75/x
3. Step 3: Cross multiply
   503,024x = 785,153.75 × 785,153.75
4. Step 4: Simplify right side
   503,024x = 616,466,411,139.06
5. Step 5: Solve for x
   x = 616,466,411,139.06/503,024
6. Step 6: Final answer
   x = 1,225,520.87