Finding the Third Proportional to 126,224.50 and 276,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,224.50 : 276,141.50 = 276,141.50 : x
2. Step 2: Convert to fraction form
   126,224.50/276,141.50 = 276,141.50/x
3. Step 3: Cross multiply
   126,224.50x = 276,141.50 × 276,141.50
4. Step 4: Simplify right side
   126,224.50x = 76,254,128,022.25
5. Step 5: Solve for x
   x = 76,254,128,022.25/126,224.50
6. Step 6: Final answer
   x = 604,115.11