Finding the Third Proportional to 75,184 and 111,966

Step by Step Solution

1. Step 1: Write the proportion equation
   75,184 : 111,966 = 111,966 : x
2. Step 2: Convert to fraction form
   75,184/111,966 = 111,966/x
3. Step 3: Cross multiply
   75,184x = 111,966 × 111,966
4. Step 4: Simplify right side
   75,184x = 12,536,385,156
5. Step 5: Solve for x
   x = 12,536,385,156/75,184
6. Step 6: Final answer
   x = 166,742.73