Finding the Third Proportional to 48,741.75 and 105,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,741.75 : 105,259.50 = 105,259.50 : x
2. Step 2: Convert to fraction form
   48,741.75/105,259.50 = 105,259.50/x
3. Step 3: Cross multiply
   48,741.75x = 105,259.50 × 105,259.50
4. Step 4: Simplify right side
   48,741.75x = 11,079,562,340.25
5. Step 5: Solve for x
   x = 11,079,562,340.25/48,741.75
6. Step 6: Final answer
   x = 227,311.54