Finding the Third Proportional to 82,882 and 125,012

Step by Step Solution

1. Step 1: Write the proportion equation
   82,882 : 125,012 = 125,012 : x
2. Step 2: Convert to fraction form
   82,882/125,012 = 125,012/x
3. Step 3: Cross multiply
   82,882x = 125,012 × 125,012
4. Step 4: Simplify right side
   82,882x = 15,628,000,144
5. Step 5: Solve for x
   x = 15,628,000,144/82,882
6. Step 6: Final answer
   x = 188,557.23