Finding the Third Proportional to 503,782.50 and 755,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   503,782.50 : 755,362.50 = 755,362.50 : x
2. Step 2: Convert to fraction form
   503,782.50/755,362.50 = 755,362.50/x
3. Step 3: Cross multiply
   503,782.50x = 755,362.50 × 755,362.50
4. Step 4: Simplify right side
   503,782.50x = 570,572,506,406.25
5. Step 5: Solve for x
   x = 570,572,506,406.25/503,782.50
6. Step 6: Final answer
   x = 1,132,577.07