Finding the Third Proportional to 90,896 and 194,744

Step by Step Solution

1. Step 1: Write the proportion equation
   90,896 : 194,744 = 194,744 : x
2. Step 2: Convert to fraction form
   90,896/194,744 = 194,744/x
3. Step 3: Cross multiply
   90,896x = 194,744 × 194,744
4. Step 4: Simplify right side
   90,896x = 37,925,225,536
5. Step 5: Solve for x
   x = 37,925,225,536/90,896
6. Step 6: Final answer
   x = 417,237.56