Finding the Third Proportional to 87,340 and 187,142

Step by Step Solution

1. Step 1: Write the proportion equation
   87,340 : 187,142 = 187,142 : x
2. Step 2: Convert to fraction form
   87,340/187,142 = 187,142/x
3. Step 3: Cross multiply
   87,340x = 187,142 × 187,142
4. Step 4: Simplify right side
   87,340x = 35,022,128,164
5. Step 5: Solve for x
   x = 35,022,128,164/87,340
6. Step 6: Final answer
   x = 400,986.13