Finding the Third Proportional to 503,869.50 and 780,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   503,869.50 : 780,142.50 = 780,142.50 : x
2. Step 2: Convert to fraction form
   503,869.50/780,142.50 = 780,142.50/x
3. Step 3: Cross multiply
   503,869.50x = 780,142.50 × 780,142.50
4. Step 4: Simplify right side
   503,869.50x = 608,622,320,306.25
5. Step 5: Solve for x
   x = 608,622,320,306.25/503,869.50
6. Step 6: Final answer
   x = 1,207,896.73