Finding the Third Proportional to 82,532 and 173,164

Step by Step Solution

1. Step 1: Write the proportion equation
   82,532 : 173,164 = 173,164 : x
2. Step 2: Convert to fraction form
   82,532/173,164 = 173,164/x
3. Step 3: Cross multiply
   82,532x = 173,164 × 173,164
4. Step 4: Simplify right side
   82,532x = 29,985,770,896
5. Step 5: Solve for x
   x = 29,985,770,896/82,532
6. Step 6: Final answer
   x = 363,322.96