Finding the Third Proportional to 80,687 and 175,774

Step by Step Solution

1. Step 1: Write the proportion equation
   80,687 : 175,774 = 175,774 : x
2. Step 2: Convert to fraction form
   80,687/175,774 = 175,774/x
3. Step 3: Cross multiply
   80,687x = 175,774 × 175,774
4. Step 4: Simplify right side
   80,687x = 30,896,499,076
5. Step 5: Solve for x
   x = 30,896,499,076/80,687
6. Step 6: Final answer
   x = 382,917.93