Finding the Third Proportional to 87,377 and 187,498

Step by Step Solution

1. Step 1: Write the proportion equation
   87,377 : 187,498 = 187,498 : x
2. Step 2: Convert to fraction form
   87,377/187,498 = 187,498/x
3. Step 3: Cross multiply
   87,377x = 187,498 × 187,498
4. Step 4: Simplify right side
   87,377x = 35,155,500,004
5. Step 5: Solve for x
   x = 35,155,500,004/87,377
6. Step 6: Final answer
   x = 402,342.72