Finding the Third Proportional to 177,802 and 266,150

Step by Step Solution

1. Step 1: Write the proportion equation
   177,802 : 266,150 = 266,150 : x
2. Step 2: Convert to fraction form
   177,802/266,150 = 266,150/x
3. Step 3: Cross multiply
   177,802x = 266,150 × 266,150
4. Step 4: Simplify right side
   177,802x = 70,835,822,500
5. Step 5: Solve for x
   x = 70,835,822,500/177,802
6. Step 6: Final answer
   x = 398,397.22