Finding the Third Proportional to 80,381 and 172,426

Step by Step Solution

1. Step 1: Write the proportion equation
   80,381 : 172,426 = 172,426 : x
2. Step 2: Convert to fraction form
   80,381/172,426 = 172,426/x
3. Step 3: Cross multiply
   80,381x = 172,426 × 172,426
4. Step 4: Simplify right side
   80,381x = 29,730,725,476
5. Step 5: Solve for x
   x = 29,730,725,476/80,381
6. Step 6: Final answer
   x = 369,872.55