Finding the Third Proportional to 51,188 and 110,150

Step by Step Solution

1. Step 1: Write the proportion equation
   51,188 : 110,150 = 110,150 : x
2. Step 2: Convert to fraction form
   51,188/110,150 = 110,150/x
3. Step 3: Cross multiply
   51,188x = 110,150 × 110,150
4. Step 4: Simplify right side
   51,188x = 12,133,022,500
5. Step 5: Solve for x
   x = 12,133,022,500/51,188
6. Step 6: Final answer
   x = 237,028.65