Finding the Third Proportional to 51,182 and 110,142

Step by Step Solution

1. Step 1: Write the proportion equation
   51,182 : 110,142 = 110,142 : x
2. Step 2: Convert to fraction form
   51,182/110,142 = 110,142/x
3. Step 3: Cross multiply
   51,182x = 110,142 × 110,142
4. Step 4: Simplify right side
   51,182x = 12,131,260,164
5. Step 5: Solve for x
   x = 12,131,260,164/51,182
6. Step 6: Final answer
   x = 237,022.00