Finding the Third Proportional to 177,165 and 269,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,165 : 269,026.50 = 269,026.50 : x
2. Step 2: Convert to fraction form
   177,165/269,026.50 = 269,026.50/x
3. Step 3: Cross multiply
   177,165x = 269,026.50 × 269,026.50
4. Step 4: Simplify right side
   177,165x = 72,375,257,702.25
5. Step 5: Solve for x
   x = 72,375,257,702.25/177,165
6. Step 6: Final answer
   x = 408,518.94