Finding the Third Proportional to 41,892 and 90,343.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,892 : 90,343.50 = 90,343.50 : x
2. Step 2: Convert to fraction form
   41,892/90,343.50 = 90,343.50/x
3. Step 3: Cross multiply
   41,892x = 90,343.50 × 90,343.50
4. Step 4: Simplify right side
   41,892x = 8,161,947,992.25
5. Step 5: Solve for x
   x = 8,161,947,992.25/41,892
6. Step 6: Final answer
   x = 194,833.09