Finding the Third Proportional to 41,644 and 90,260

Step by Step Solution

1. Step 1: Write the proportion equation
   41,644 : 90,260 = 90,260 : x
2. Step 2: Convert to fraction form
   41,644/90,260 = 90,260/x
3. Step 3: Cross multiply
   41,644x = 90,260 × 90,260
4. Step 4: Simplify right side
   41,644x = 8,146,867,600
5. Step 5: Solve for x
   x = 8,146,867,600/41,644
6. Step 6: Final answer
   x = 195,631.25