Finding the Third Proportional to 82,188 and 111,372

Step by Step Solution

1. Step 1: Write the proportion equation
   82,188 : 111,372 = 111,372 : x
2. Step 2: Convert to fraction form
   82,188/111,372 = 111,372/x
3. Step 3: Cross multiply
   82,188x = 111,372 × 111,372
4. Step 4: Simplify right side
   82,188x = 12,403,722,384
5. Step 5: Solve for x
   x = 12,403,722,384/82,188
6. Step 6: Final answer
   x = 150,918.90