Finding the Third Proportional to 82,056 and 179,292

Step by Step Solution

1. Step 1: Write the proportion equation
   82,056 : 179,292 = 179,292 : x
2. Step 2: Convert to fraction form
   82,056/179,292 = 179,292/x
3. Step 3: Cross multiply
   82,056x = 179,292 × 179,292
4. Step 4: Simplify right side
   82,056x = 32,145,621,264
5. Step 5: Solve for x
   x = 32,145,621,264/82,056
6. Step 6: Final answer
   x = 391,752.23