Finding the Third Proportional to 103,826.25 and 227,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,826.25 : 227,038.50 = 227,038.50 : x
2. Step 2: Convert to fraction form
   103,826.25/227,038.50 = 227,038.50/x
3. Step 3: Cross multiply
   103,826.25x = 227,038.50 × 227,038.50
4. Step 4: Simplify right side
   103,826.25x = 51,546,480,482.25
5. Step 5: Solve for x
   x = 51,546,480,482.25/103,826.25
6. Step 6: Final answer
   x = 496,468.67