Finding the Third Proportional to 108,084 and 173,656

Step by Step Solution

1. Step 1: Write the proportion equation
   108,084 : 173,656 = 173,656 : x
2. Step 2: Convert to fraction form
   108,084/173,656 = 173,656/x
3. Step 3: Cross multiply
   108,084x = 173,656 × 173,656
4. Step 4: Simplify right side
   108,084x = 30,156,406,336
5. Step 5: Solve for x
   x = 30,156,406,336/108,084
6. Step 6: Final answer
   x = 279,008.98