Finding the Third Proportional to 101,469 and 220,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,469 : 220,429.50 = 220,429.50 : x
2. Step 2: Convert to fraction form
   101,469/220,429.50 = 220,429.50/x
3. Step 3: Cross multiply
   101,469x = 220,429.50 × 220,429.50
4. Step 4: Simplify right side
   101,469x = 48,589,164,470.25
5. Step 5: Solve for x
   x = 48,589,164,470.25/101,469
6. Step 6: Final answer
   x = 478,857.23