Finding the Third Proportional to 101,565 and 220,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,565 : 220,078.50 = 220,078.50 : x
2. Step 2: Convert to fraction form
   101,565/220,078.50 = 220,078.50/x
3. Step 3: Cross multiply
   101,565x = 220,078.50 × 220,078.50
4. Step 4: Simplify right side
   101,565x = 48,434,546,162.25
5. Step 5: Solve for x
   x = 48,434,546,162.25/101,565
6. Step 6: Final answer
   x = 476,882.25