Finding the Third Proportional to 83,336 and 111,324

Step by Step Solution

1. Step 1: Write the proportion equation
   83,336 : 111,324 = 111,324 : x
2. Step 2: Convert to fraction form
   83,336/111,324 = 111,324/x
3. Step 3: Cross multiply
   83,336x = 111,324 × 111,324
4. Step 4: Simplify right side
   83,336x = 12,393,032,976
5. Step 5: Solve for x
   x = 12,393,032,976/83,336
6. Step 6: Final answer
   x = 148,711.64