Finding the Third Proportional to 80,838 and 171,882

Step by Step Solution

1. Step 1: Write the proportion equation
   80,838 : 171,882 = 171,882 : x
2. Step 2: Convert to fraction form
   80,838/171,882 = 171,882/x
3. Step 3: Cross multiply
   80,838x = 171,882 × 171,882
4. Step 4: Simplify right side
   80,838x = 29,543,421,924
5. Step 5: Solve for x
   x = 29,543,421,924/80,838
6. Step 6: Final answer
   x = 365,464.53