Finding the Third Proportional to 103,640 and 221,500

Step by Step Solution

1. Step 1: Write the proportion equation
   103,640 : 221,500 = 221,500 : x
2. Step 2: Convert to fraction form
   103,640/221,500 = 221,500/x
3. Step 3: Cross multiply
   103,640x = 221,500 × 221,500
4. Step 4: Simplify right side
   103,640x = 49,062,250,000
5. Step 5: Solve for x
   x = 49,062,250,000/103,640
6. Step 6: Final answer
   x = 473,391.07