Finding the Third Proportional to 90,284 and 194,442

Step by Step Solution

1. Step 1: Write the proportion equation
   90,284 : 194,442 = 194,442 : x
2. Step 2: Convert to fraction form
   90,284/194,442 = 194,442/x
3. Step 3: Cross multiply
   90,284x = 194,442 × 194,442
4. Step 4: Simplify right side
   90,284x = 37,807,691,364
5. Step 5: Solve for x
   x = 37,807,691,364/90,284
6. Step 6: Final answer
   x = 418,764.03