Finding the Third Proportional to 47,745.75 and 105,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,745.75 : 105,022.50 = 105,022.50 : x
2. Step 2: Convert to fraction form
   47,745.75/105,022.50 = 105,022.50/x
3. Step 3: Cross multiply
   47,745.75x = 105,022.50 × 105,022.50
4. Step 4: Simplify right side
   47,745.75x = 11,029,725,506.25
5. Step 5: Solve for x
   x = 11,029,725,506.25/47,745.75
6. Step 6: Final answer
   x = 231,009.58