Finding the Third Proportional to 81,626 and 178,900

Step by Step Solution

1. Step 1: Write the proportion equation
   81,626 : 178,900 = 178,900 : x
2. Step 2: Convert to fraction form
   81,626/178,900 = 178,900/x
3. Step 3: Cross multiply
   81,626x = 178,900 × 178,900
4. Step 4: Simplify right side
   81,626x = 32,005,210,000
5. Step 5: Solve for x
   x = 32,005,210,000/81,626
6. Step 6: Final answer
   x = 392,095.78