Finding the Third Proportional to 75,838 and 111,812

Step by Step Solution

1. Step 1: Write the proportion equation
   75,838 : 111,812 = 111,812 : x
2. Step 2: Convert to fraction form
   75,838/111,812 = 111,812/x
3. Step 3: Cross multiply
   75,838x = 111,812 × 111,812
4. Step 4: Simplify right side
   75,838x = 12,501,923,344
5. Step 5: Solve for x
   x = 12,501,923,344/75,838
6. Step 6: Final answer
   x = 164,850.38