Finding the Third Proportional to 101,796.75 and 221,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,796.75 : 221,665.50 = 221,665.50 : x
2. Step 2: Convert to fraction form
   101,796.75/221,665.50 = 221,665.50/x
3. Step 3: Cross multiply
   101,796.75x = 221,665.50 × 221,665.50
4. Step 4: Simplify right side
   101,796.75x = 49,135,593,890.25
5. Step 5: Solve for x
   x = 49,135,593,890.25/101,796.75
6. Step 6: Final answer
   x = 482,683.33