Finding the Third Proportional to 100,680.50 and 216,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,680.50 : 216,789.50 = 216,789.50 : x
2. Step 2: Convert to fraction form
   100,680.50/216,789.50 = 216,789.50/x
3. Step 3: Cross multiply
   100,680.50x = 216,789.50 × 216,789.50
4. Step 4: Simplify right side
   100,680.50x = 46,997,687,310.25
5. Step 5: Solve for x
   x = 46,997,687,310.25/100,680.50
6. Step 6: Final answer
   x = 466,800.30