Finding the Third Proportional to 101,566 and 220,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,566 : 220,080.50 = 220,080.50 : x
2. Step 2: Convert to fraction form
   101,566/220,080.50 = 220,080.50/x
3. Step 3: Cross multiply
   101,566x = 220,080.50 × 220,080.50
4. Step 4: Simplify right side
   101,566x = 48,435,426,480.25
5. Step 5: Solve for x
   x = 48,435,426,480.25/101,566
6. Step 6: Final answer
   x = 476,886.23