Finding the Third Proportional to 82,380 and 132,642

Step by Step Solution

1. Step 1: Write the proportion equation
   82,380 : 132,642 = 132,642 : x
2. Step 2: Convert to fraction form
   82,380/132,642 = 132,642/x
3. Step 3: Cross multiply
   82,380x = 132,642 × 132,642
4. Step 4: Simplify right side
   82,380x = 17,593,900,164
5. Step 5: Solve for x
   x = 17,593,900,164/82,380
6. Step 6: Final answer
   x = 213,570.04