Finding the Third Proportional to 80,850 and 172,692

Step by Step Solution

1. Step 1: Write the proportion equation
   80,850 : 172,692 = 172,692 : x
2. Step 2: Convert to fraction form
   80,850/172,692 = 172,692/x
3. Step 3: Cross multiply
   80,850x = 172,692 × 172,692
4. Step 4: Simplify right side
   80,850x = 29,822,526,864
5. Step 5: Solve for x
   x = 29,822,526,864/80,850
6. Step 6: Final answer
   x = 368,862.42