Finding the Third Proportional to 126,574.50 and 178,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,574.50 : 178,018.50 = 178,018.50 : x
2. Step 2: Convert to fraction form
   126,574.50/178,018.50 = 178,018.50/x
3. Step 3: Cross multiply
   126,574.50x = 178,018.50 × 178,018.50
4. Step 4: Simplify right side
   126,574.50x = 31,690,586,342.25
5. Step 5: Solve for x
   x = 31,690,586,342.25/126,574.50
6. Step 6: Final answer
   x = 250,371.02