Finding the Third Proportional to 82,456 and 179,725

Step by Step Solution

1. Step 1: Write the proportion equation
   82,456 : 179,725 = 179,725 : x
2. Step 2: Convert to fraction form
   82,456/179,725 = 179,725/x
3. Step 3: Cross multiply
   82,456x = 179,725 × 179,725
4. Step 4: Simplify right side
   82,456x = 32,301,075,625
5. Step 5: Solve for x
   x = 32,301,075,625/82,456
6. Step 6: Final answer
   x = 391,737.12