Finding the Third Proportional to 48,944.25 and 105,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,944.25 : 105,664.50 = 105,664.50 : x
2. Step 2: Convert to fraction form
   48,944.25/105,664.50 = 105,664.50/x
3. Step 3: Cross multiply
   48,944.25x = 105,664.50 × 105,664.50
4. Step 4: Simplify right side
   48,944.25x = 11,164,986,560.25
5. Step 5: Solve for x
   x = 11,164,986,560.25/48,944.25
6. Step 6: Final answer
   x = 228,116.41