Finding the Third Proportional to 100,632 and 215,355

Step by Step Solution

1. Step 1: Write the proportion equation
   100,632 : 215,355 = 215,355 : x
2. Step 2: Convert to fraction form
   100,632/215,355 = 215,355/x
3. Step 3: Cross multiply
   100,632x = 215,355 × 215,355
4. Step 4: Simplify right side
   100,632x = 46,377,776,025
5. Step 5: Solve for x
   x = 46,377,776,025/100,632
6. Step 6: Final answer
   x = 460,865.09