Finding the Third Proportional to 51,146 and 109,400

Step by Step Solution

1. Step 1: Write the proportion equation
   51,146 : 109,400 = 109,400 : x
2. Step 2: Convert to fraction form
   51,146/109,400 = 109,400/x
3. Step 3: Cross multiply
   51,146x = 109,400 × 109,400
4. Step 4: Simplify right side
   51,146x = 11,968,360,000
5. Step 5: Solve for x
   x = 11,968,360,000/51,146
6. Step 6: Final answer
   x = 234,003.83