Finding the Third Proportional to 40,623.75 and 89,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,623.75 : 89,266.50 = 89,266.50 : x
2. Step 2: Convert to fraction form
   40,623.75/89,266.50 = 89,266.50/x
3. Step 3: Cross multiply
   40,623.75x = 89,266.50 × 89,266.50
4. Step 4: Simplify right side
   40,623.75x = 7,968,508,022.25
5. Step 5: Solve for x
   x = 7,968,508,022.25/40,623.75
6. Step 6: Final answer
   x = 196,153.93