Finding the Third Proportional to 82,039 and 175,453

Step by Step Solution

1. Step 1: Write the proportion equation
   82,039 : 175,453 = 175,453 : x
2. Step 2: Convert to fraction form
   82,039/175,453 = 175,453/x
3. Step 3: Cross multiply
   82,039x = 175,453 × 175,453
4. Step 4: Simplify right side
   82,039x = 30,783,755,209
5. Step 5: Solve for x
   x = 30,783,755,209/82,039
6. Step 6: Final answer
   x = 375,233.18