Finding the Third Proportional to 177,154 and 269,012

Step by Step Solution

1. Step 1: Write the proportion equation
   177,154 : 269,012 = 269,012 : x
2. Step 2: Convert to fraction form
   177,154/269,012 = 269,012/x
3. Step 3: Cross multiply
   177,154x = 269,012 × 269,012
4. Step 4: Simplify right side
   177,154x = 72,367,456,144
5. Step 5: Solve for x
   x = 72,367,456,144/177,154
6. Step 6: Final answer
   x = 408,500.27