Finding the Third Proportional to 83,168 and 111,468

Step by Step Solution

1. Step 1: Write the proportion equation
   83,168 : 111,468 = 111,468 : x
2. Step 2: Convert to fraction form
   83,168/111,468 = 111,468/x
3. Step 3: Cross multiply
   83,168x = 111,468 × 111,468
4. Step 4: Simplify right side
   83,168x = 12,425,115,024
5. Step 5: Solve for x
   x = 12,425,115,024/83,168
6. Step 6: Final answer
   x = 149,397.79