Finding the Third Proportional to 88,304 and 172,168

Step by Step Solution

1. Step 1: Write the proportion equation
   88,304 : 172,168 = 172,168 : x
2. Step 2: Convert to fraction form
   88,304/172,168 = 172,168/x
3. Step 3: Cross multiply
   88,304x = 172,168 × 172,168
4. Step 4: Simplify right side
   88,304x = 29,641,820,224
5. Step 5: Solve for x
   x = 29,641,820,224/88,304
6. Step 6: Final answer
   x = 335,679.25