Finding the Third Proportional to 102,066 and 220,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,066 : 220,561.50 = 220,561.50 : x
2. Step 2: Convert to fraction form
   102,066/220,561.50 = 220,561.50/x
3. Step 3: Cross multiply
   102,066x = 220,561.50 × 220,561.50
4. Step 4: Simplify right side
   102,066x = 48,647,375,282.25
5. Step 5: Solve for x
   x = 48,647,375,282.25/102,066
6. Step 6: Final answer
   x = 476,626.65