Finding the Third Proportional to 82,272 and 111,486

Step by Step Solution

1. Step 1: Write the proportion equation
   82,272 : 111,486 = 111,486 : x
2. Step 2: Convert to fraction form
   82,272/111,486 = 111,486/x
3. Step 3: Cross multiply
   82,272x = 111,486 × 111,486
4. Step 4: Simplify right side
   82,272x = 12,429,128,196
5. Step 5: Solve for x
   x = 12,429,128,196/82,272
6. Step 6: Final answer
   x = 151,073.61