Finding the Third Proportional to 82,233 and 179,315

Step by Step Solution

1. Step 1: Write the proportion equation
   82,233 : 179,315 = 179,315 : x
2. Step 2: Convert to fraction form
   82,233/179,315 = 179,315/x
3. Step 3: Cross multiply
   82,233x = 179,315 × 179,315
4. Step 4: Simplify right side
   82,233x = 32,153,869,225
5. Step 5: Solve for x
   x = 32,153,869,225/82,233
6. Step 6: Final answer
   x = 391,009.32