Finding the Third Proportional to 51,138 and 109,620

Step by Step Solution

1. Step 1: Write the proportion equation
   51,138 : 109,620 = 109,620 : x
2. Step 2: Convert to fraction form
   51,138/109,620 = 109,620/x
3. Step 3: Cross multiply
   51,138x = 109,620 × 109,620
4. Step 4: Simplify right side
   51,138x = 12,016,544,400
5. Step 5: Solve for x
   x = 12,016,544,400/51,138
6. Step 6: Final answer
   x = 234,982.68