Finding the Third Proportional to 101,892 and 221,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,892 : 221,287.50 = 221,287.50 : x
2. Step 2: Convert to fraction form
   101,892/221,287.50 = 221,287.50/x
3. Step 3: Cross multiply
   101,892x = 221,287.50 × 221,287.50
4. Step 4: Simplify right side
   101,892x = 48,968,157,656.25
5. Step 5: Solve for x
   x = 48,968,157,656.25/101,892
6. Step 6: Final answer
   x = 480,588.84