Finding the Third Proportional to 80,920 and 172,046

Step by Step Solution

1. Step 1: Write the proportion equation
   80,920 : 172,046 = 172,046 : x
2. Step 2: Convert to fraction form
   80,920/172,046 = 172,046/x
3. Step 3: Cross multiply
   80,920x = 172,046 × 172,046
4. Step 4: Simplify right side
   80,920x = 29,599,826,116
5. Step 5: Solve for x
   x = 29,599,826,116/80,920
6. Step 6: Final answer
   x = 365,791.23