Finding the Third Proportional to 100,792 and 215,184

Step by Step Solution

1. Step 1: Write the proportion equation
   100,792 : 215,184 = 215,184 : x
2. Step 2: Convert to fraction form
   100,792/215,184 = 215,184/x
3. Step 3: Cross multiply
   100,792x = 215,184 × 215,184
4. Step 4: Simplify right side
   100,792x = 46,304,153,856
5. Step 5: Solve for x
   x = 46,304,153,856/100,792
6. Step 6: Final answer
   x = 459,403.07