Finding the Third Proportional to 82,376 and 179,536

Step by Step Solution

1. Step 1: Write the proportion equation
   82,376 : 179,536 = 179,536 : x
2. Step 2: Convert to fraction form
   82,376/179,536 = 179,536/x
3. Step 3: Cross multiply
   82,376x = 179,536 × 179,536
4. Step 4: Simplify right side
   82,376x = 32,233,175,296
5. Step 5: Solve for x
   x = 32,233,175,296/82,376
6. Step 6: Final answer
   x = 391,293.28