Finding the Third Proportional to 41,640 and 89,926.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,640 : 89,926.50 = 89,926.50 : x
2. Step 2: Convert to fraction form
   41,640/89,926.50 = 89,926.50/x
3. Step 3: Cross multiply
   41,640x = 89,926.50 × 89,926.50
4. Step 4: Simplify right side
   41,640x = 8,086,775,402.25
5. Step 5: Solve for x
   x = 8,086,775,402.25/41,640
6. Step 6: Final answer
   x = 194,206.90