Finding the Third Proportional to 90,540 and 194,948

Step by Step Solution

1. Step 1: Write the proportion equation
   90,540 : 194,948 = 194,948 : x
2. Step 2: Convert to fraction form
   90,540/194,948 = 194,948/x
3. Step 3: Cross multiply
   90,540x = 194,948 × 194,948
4. Step 4: Simplify right side
   90,540x = 38,004,722,704
5. Step 5: Solve for x
   x = 38,004,722,704/90,540
6. Step 6: Final answer
   x = 419,756.16