Finding the Third Proportional to 87,664 and 142,428

Step by Step Solution

1. Step 1: Write the proportion equation
   87,664 : 142,428 = 142,428 : x
2. Step 2: Convert to fraction form
   87,664/142,428 = 142,428/x
3. Step 3: Cross multiply
   87,664x = 142,428 × 142,428
4. Step 4: Simplify right side
   87,664x = 20,285,735,184
5. Step 5: Solve for x
   x = 20,285,735,184/87,664
6. Step 6: Final answer
   x = 231,403.26