Finding the Third Proportional to 82,374 and 179,532

Step by Step Solution

1. Step 1: Write the proportion equation
   82,374 : 179,532 = 179,532 : x
2. Step 2: Convert to fraction form
   82,374/179,532 = 179,532/x
3. Step 3: Cross multiply
   82,374x = 179,532 × 179,532
4. Step 4: Simplify right side
   82,374x = 32,231,739,024
5. Step 5: Solve for x
   x = 32,231,739,024/82,374
6. Step 6: Final answer
   x = 391,285.35