Finding the Third Proportional to 100,632 and 215,354

Step by Step Solution

1. Step 1: Write the proportion equation
   100,632 : 215,354 = 215,354 : x
2. Step 2: Convert to fraction form
   100,632/215,354 = 215,354/x
3. Step 3: Cross multiply
   100,632x = 215,354 × 215,354
4. Step 4: Simplify right side
   100,632x = 46,377,345,316
5. Step 5: Solve for x
   x = 46,377,345,316/100,632
6. Step 6: Final answer
   x = 460,860.81