Finding the Third Proportional to 86,080 and 175,616

Step by Step Solution

1. Step 1: Write the proportion equation
   86,080 : 175,616 = 175,616 : x
2. Step 2: Convert to fraction form
   86,080/175,616 = 175,616/x
3. Step 3: Cross multiply
   86,080x = 175,616 × 175,616
4. Step 4: Simplify right side
   86,080x = 30,840,979,456
5. Step 5: Solve for x
   x = 30,840,979,456/86,080
6. Step 6: Final answer
   x = 358,282.75