Finding the Third Proportional to 501,205 and 724,154.50

Step by Step Solution

1. Step 1: Write the proportion equation
   501,205 : 724,154.50 = 724,154.50 : x
2. Step 2: Convert to fraction form
   501,205/724,154.50 = 724,154.50/x
3. Step 3: Cross multiply
   501,205x = 724,154.50 × 724,154.50
4. Step 4: Simplify right side
   501,205x = 524,399,739,870.25
5. Step 5: Solve for x
   x = 524,399,739,870.25/501,205
6. Step 6: Final answer
   x = 1,046,277.95