Finding the Third Proportional to 41,123.50 and 89,683.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,123.50 : 89,683.75 = 89,683.75 : x
2. Step 2: Convert to fraction form
   41,123.50/89,683.75 = 89,683.75/x
3. Step 3: Cross multiply
   41,123.50x = 89,683.75 × 89,683.75
4. Step 4: Simplify right side
   41,123.50x = 8,043,175,014.06
5. Step 5: Solve for x
   x = 8,043,175,014.06/41,123.50
6. Step 6: Final answer
   x = 195,585.86