Finding the Third Proportional to 75,182 and 111,963

Step by Step Solution

1. Step 1: Write the proportion equation
   75,182 : 111,963 = 111,963 : x
2. Step 2: Convert to fraction form
   75,182/111,963 = 111,963/x
3. Step 3: Cross multiply
   75,182x = 111,963 × 111,963
4. Step 4: Simplify right side
   75,182x = 12,535,713,369
5. Step 5: Solve for x
   x = 12,535,713,369/75,182
6. Step 6: Final answer
   x = 166,738.23