Finding the Third Proportional to 501,205.50 and 724,155.25

Step by Step Solution

1. Step 1: Write the proportion equation
   501,205.50 : 724,155.25 = 724,155.25 : x
2. Step 2: Convert to fraction form
   501,205.50/724,155.25 = 724,155.25/x
3. Step 3: Cross multiply
   501,205.50x = 724,155.25 × 724,155.25
4. Step 4: Simplify right side
   501,205.50x = 524,400,826,102.56
5. Step 5: Solve for x
   x = 524,400,826,102.56/501,205.50
6. Step 6: Final answer
   x = 1,046,279.07