Finding the Third Proportional to 86,304 and 185,040

Step by Step Solution

1. Step 1: Write the proportion equation
   86,304 : 185,040 = 185,040 : x
2. Step 2: Convert to fraction form
   86,304/185,040 = 185,040/x
3. Step 3: Cross multiply
   86,304x = 185,040 × 185,040
4. Step 4: Simplify right side
   86,304x = 34,239,801,600
5. Step 5: Solve for x
   x = 34,239,801,600/86,304
6. Step 6: Final answer
   x = 396,734.82