Finding the Third Proportional to 83,344 and 111,336

Step by Step Solution

1. Step 1: Write the proportion equation
   83,344 : 111,336 = 111,336 : x
2. Step 2: Convert to fraction form
   83,344/111,336 = 111,336/x
3. Step 3: Cross multiply
   83,344x = 111,336 × 111,336
4. Step 4: Simplify right side
   83,344x = 12,395,704,896
5. Step 5: Solve for x
   x = 12,395,704,896/83,344
6. Step 6: Final answer
   x = 148,729.42