Finding the Third Proportional to 87,654 and 142,410

Step by Step Solution

1. Step 1: Write the proportion equation
   87,654 : 142,410 = 142,410 : x
2. Step 2: Convert to fraction form
   87,654/142,410 = 142,410/x
3. Step 3: Cross multiply
   87,654x = 142,410 × 142,410
4. Step 4: Simplify right side
   87,654x = 20,280,608,100
5. Step 5: Solve for x
   x = 20,280,608,100/87,654
6. Step 6: Final answer
   x = 231,371.17