Finding the Third Proportional to 41,683.50 and 96,414.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,683.50 : 96,414.75 = 96,414.75 : x
2. Step 2: Convert to fraction form
   41,683.50/96,414.75 = 96,414.75/x
3. Step 3: Cross multiply
   41,683.50x = 96,414.75 × 96,414.75
4. Step 4: Simplify right side
   41,683.50x = 9,295,804,017.56
5. Step 5: Solve for x
   x = 9,295,804,017.56/41,683.50
6. Step 6: Final answer
   x = 223,009.20