Finding the Third Proportional to 100,224 and 215,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,224 : 215,998.50 = 215,998.50 : x
2. Step 2: Convert to fraction form
   100,224/215,998.50 = 215,998.50/x
3. Step 3: Cross multiply
   100,224x = 215,998.50 × 215,998.50
4. Step 4: Simplify right side
   100,224x = 46,655,352,002.25
5. Step 5: Solve for x
   x = 46,655,352,002.25/100,224
6. Step 6: Final answer
   x = 465,510.78