Finding the Third Proportional to 86,304 and 178,600

Step by Step Solution

1. Step 1: Write the proportion equation
   86,304 : 178,600 = 178,600 : x
2. Step 2: Convert to fraction form
   86,304/178,600 = 178,600/x
3. Step 3: Cross multiply
   86,304x = 178,600 × 178,600
4. Step 4: Simplify right side
   86,304x = 31,897,960,000
5. Step 5: Solve for x
   x = 31,897,960,000/86,304
6. Step 6: Final answer
   x = 369,600.02