Finding the Third Proportional to 86,280 and 185,520

Step by Step Solution

1. Step 1: Write the proportion equation
   86,280 : 185,520 = 185,520 : x
2. Step 2: Convert to fraction form
   86,280/185,520 = 185,520/x
3. Step 3: Cross multiply
   86,280x = 185,520 × 185,520
4. Step 4: Simplify right side
   86,280x = 34,417,670,400
5. Step 5: Solve for x
   x = 34,417,670,400/86,280
6. Step 6: Final answer
   x = 398,906.70