Finding the Third Proportional to 101,754.50 and 221,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,754.50 : 221,022.50 = 221,022.50 : x
2. Step 2: Convert to fraction form
   101,754.50/221,022.50 = 221,022.50/x
3. Step 3: Cross multiply
   101,754.50x = 221,022.50 × 221,022.50
4. Step 4: Simplify right side
   101,754.50x = 48,850,945,506.25
5. Step 5: Solve for x
   x = 48,850,945,506.25/101,754.50
6. Step 6: Final answer
   x = 480,086.34