Finding the Third Proportional to 82,064 and 175,496

Step by Step Solution

1. Step 1: Write the proportion equation
   82,064 : 175,496 = 175,496 : x
2. Step 2: Convert to fraction form
   82,064/175,496 = 175,496/x
3. Step 3: Cross multiply
   82,064x = 175,496 × 175,496
4. Step 4: Simplify right side
   82,064x = 30,798,846,016
5. Step 5: Solve for x
   x = 30,798,846,016/82,064
6. Step 6: Final answer
   x = 375,302.76