Finding the Third Proportional to 82,876 and 181,426

Step by Step Solution

1. Step 1: Write the proportion equation
   82,876 : 181,426 = 181,426 : x
2. Step 2: Convert to fraction form
   82,876/181,426 = 181,426/x
3. Step 3: Cross multiply
   82,876x = 181,426 × 181,426
4. Step 4: Simplify right side
   82,876x = 32,915,393,476
5. Step 5: Solve for x
   x = 32,915,393,476/82,876
6. Step 6: Final answer
   x = 397,164.36