Finding the Third Proportional to 87,466 and 181,156

Step by Step Solution

1. Step 1: Write the proportion equation
   87,466 : 181,156 = 181,156 : x
2. Step 2: Convert to fraction form
   87,466/181,156 = 181,156/x
3. Step 3: Cross multiply
   87,466x = 181,156 × 181,156
4. Step 4: Simplify right side
   87,466x = 32,817,496,336
5. Step 5: Solve for x
   x = 32,817,496,336/87,466
6. Step 6: Final answer
   x = 375,202.89