Finding the Third Proportional to 101,747.50 and 221,006

Step by Step Solution

1. Step 1: Write the proportion equation
   101,747.50 : 221,006 = 221,006 : x
2. Step 2: Convert to fraction form
   101,747.50/221,006 = 221,006/x
3. Step 3: Cross multiply
   101,747.50x = 221,006 × 221,006
4. Step 4: Simplify right side
   101,747.50x = 48,843,652,036
5. Step 5: Solve for x
   x = 48,843,652,036/101,747.50
6. Step 6: Final answer
   x = 480,047.69