Finding the Third Proportional to 51,138 and 109,680.75

Step by Step Solution

1. Step 1: Write the proportion equation
   51,138 : 109,680.75 = 109,680.75 : x
2. Step 2: Convert to fraction form
   51,138/109,680.75 = 109,680.75/x
3. Step 3: Cross multiply
   51,138x = 109,680.75 × 109,680.75
4. Step 4: Simplify right side
   51,138x = 12,029,866,920.56
5. Step 5: Solve for x
   x = 12,029,866,920.56/51,138
6. Step 6: Final answer
   x = 235,243.20