Finding the Third Proportional to 51,162 and 109,431

Step by Step Solution

1. Step 1: Write the proportion equation
   51,162 : 109,431 = 109,431 : x
2. Step 2: Convert to fraction form
   51,162/109,431 = 109,431/x
3. Step 3: Cross multiply
   51,162x = 109,431 × 109,431
4. Step 4: Simplify right side
   51,162x = 11,975,143,761
5. Step 5: Solve for x
   x = 11,975,143,761/51,162
6. Step 6: Final answer
   x = 234,063.25