Finding the Third Proportional to 87,458 and 185,428

Step by Step Solution

1. Step 1: Write the proportion equation
   87,458 : 185,428 = 185,428 : x
2. Step 2: Convert to fraction form
   87,458/185,428 = 185,428/x
3. Step 3: Cross multiply
   87,458x = 185,428 × 185,428
4. Step 4: Simplify right side
   87,458x = 34,383,543,184
5. Step 5: Solve for x
   x = 34,383,543,184/87,458
6. Step 6: Final answer
   x = 393,143.49