Finding the Third Proportional to 456,559.50 and 709,707

Step by Step Solution

1. Step 1: Write the proportion equation
   456,559.50 : 709,707 = 709,707 : x
2. Step 2: Convert to fraction form
   456,559.50/709,707 = 709,707/x
3. Step 3: Cross multiply
   456,559.50x = 709,707 × 709,707
4. Step 4: Simplify right side
   456,559.50x = 503,684,025,849
5. Step 5: Solve for x
   x = 503,684,025,849/456,559.50
6. Step 6: Final answer
   x = 1,103,216.61