Finding the Third Proportional to 101,874 and 221,278.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,874 : 221,278.50 = 221,278.50 : x
2. Step 2: Convert to fraction form
   101,874/221,278.50 = 221,278.50/x
3. Step 3: Cross multiply
   101,874x = 221,278.50 × 221,278.50
4. Step 4: Simplify right side
   101,874x = 48,964,174,562.25
5. Step 5: Solve for x
   x = 48,964,174,562.25/101,874
6. Step 6: Final answer
   x = 480,634.65