Finding the Third Proportional to 49,025.25 and 105,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,025.25 : 105,826.50 = 105,826.50 : x
2. Step 2: Convert to fraction form
   49,025.25/105,826.50 = 105,826.50/x
3. Step 3: Cross multiply
   49,025.25x = 105,826.50 × 105,826.50
4. Step 4: Simplify right side
   49,025.25x = 11,199,248,102.25
5. Step 5: Solve for x
   x = 11,199,248,102.25/49,025.25
6. Step 6: Final answer
   x = 228,438.37