Finding the Third Proportional to 87,471 and 187,380

Step by Step Solution

1. Step 1: Write the proportion equation
   87,471 : 187,380 = 187,380 : x
2. Step 2: Convert to fraction form
   87,471/187,380 = 187,380/x
3. Step 3: Cross multiply
   87,471x = 187,380 × 187,380
4. Step 4: Simplify right side
   87,471x = 35,111,264,400
5. Step 5: Solve for x
   x = 35,111,264,400/87,471
6. Step 6: Final answer
   x = 401,404.63