Finding the Third Proportional to 51,527 and 112,906

Step by Step Solution

1. Step 1: Write the proportion equation
   51,527 : 112,906 = 112,906 : x
2. Step 2: Convert to fraction form
   51,527/112,906 = 112,906/x
3. Step 3: Cross multiply
   51,527x = 112,906 × 112,906
4. Step 4: Simplify right side
   51,527x = 12,747,764,836
5. Step 5: Solve for x
   x = 12,747,764,836/51,527
6. Step 6: Final answer
   x = 247,399.71