Finding the Third Proportional to 40,585.50 and 89,928

Step by Step Solution

1. Step 1: Write the proportion equation
   40,585.50 : 89,928 = 89,928 : x
2. Step 2: Convert to fraction form
   40,585.50/89,928 = 89,928/x
3. Step 3: Cross multiply
   40,585.50x = 89,928 × 89,928
4. Step 4: Simplify right side
   40,585.50x = 8,087,045,184
5. Step 5: Solve for x
   x = 8,087,045,184/40,585.50
6. Step 6: Final answer
   x = 199,259.47