Finding the Third Proportional to 90,911 and 194,458

Step by Step Solution

1. Step 1: Write the proportion equation
   90,911 : 194,458 = 194,458 : x
2. Step 2: Convert to fraction form
   90,911/194,458 = 194,458/x
3. Step 3: Cross multiply
   90,911x = 194,458 × 194,458
4. Step 4: Simplify right side
   90,911x = 37,813,913,764
5. Step 5: Solve for x
   x = 37,813,913,764/90,911
6. Step 6: Final answer
   x = 415,944.32