Finding the Third Proportional to 87,411 and 185,280

Step by Step Solution

1. Step 1: Write the proportion equation
   87,411 : 185,280 = 185,280 : x
2. Step 2: Convert to fraction form
   87,411/185,280 = 185,280/x
3. Step 3: Cross multiply
   87,411x = 185,280 × 185,280
4. Step 4: Simplify right side
   87,411x = 34,328,678,400
5. Step 5: Solve for x
   x = 34,328,678,400/87,411
6. Step 6: Final answer
   x = 392,727.21