Finding the Third Proportional to 103,826.25 and 223,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,826.25 : 223,447.50 = 223,447.50 : x
2. Step 2: Convert to fraction form
   103,826.25/223,447.50 = 223,447.50/x
3. Step 3: Cross multiply
   103,826.25x = 223,447.50 × 223,447.50
4. Step 4: Simplify right side
   103,826.25x = 49,928,785,256.25
5. Step 5: Solve for x
   x = 49,928,785,256.25/103,826.25
6. Step 6: Final answer
   x = 480,887.88