Finding the Third Proportional to 82,358 and 111,872

Step by Step Solution

1. Step 1: Write the proportion equation
   82,358 : 111,872 = 111,872 : x
2. Step 2: Convert to fraction form
   82,358/111,872 = 111,872/x
3. Step 3: Cross multiply
   82,358x = 111,872 × 111,872
4. Step 4: Simplify right side
   82,358x = 12,515,344,384
5. Step 5: Solve for x
   x = 12,515,344,384/82,358
6. Step 6: Final answer
   x = 151,962.70