Finding the Third Proportional to 101,471 and 220,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,471 : 220,233.50 = 220,233.50 : x
2. Step 2: Convert to fraction form
   101,471/220,233.50 = 220,233.50/x
3. Step 3: Cross multiply
   101,471x = 220,233.50 × 220,233.50
4. Step 4: Simplify right side
   101,471x = 48,502,794,522.25
5. Step 5: Solve for x
   x = 48,502,794,522.25/101,471
6. Step 6: Final answer
   x = 477,996.62