Finding the Third Proportional to 41,658 and 90,426

Step by Step Solution

1. Step 1: Write the proportion equation
   41,658 : 90,426 = 90,426 : x
2. Step 2: Convert to fraction form
   41,658/90,426 = 90,426/x
3. Step 3: Cross multiply
   41,658x = 90,426 × 90,426
4. Step 4: Simplify right side
   41,658x = 8,176,861,476
5. Step 5: Solve for x
   x = 8,176,861,476/41,658
6. Step 6: Final answer
   x = 196,285.50