Finding the Third Proportional to 82,339 and 175,315

Step by Step Solution

1. Step 1: Write the proportion equation
   82,339 : 175,315 = 175,315 : x
2. Step 2: Convert to fraction form
   82,339/175,315 = 175,315/x
3. Step 3: Cross multiply
   82,339x = 175,315 × 175,315
4. Step 4: Simplify right side
   82,339x = 30,735,349,225
5. Step 5: Solve for x
   x = 30,735,349,225/82,339
6. Step 6: Final answer
   x = 373,278.15