Finding the Third Proportional to 90,027 and 194,493

Step by Step Solution

1. Step 1: Write the proportion equation
   90,027 : 194,493 = 194,493 : x
2. Step 2: Convert to fraction form
   90,027/194,493 = 194,493/x
3. Step 3: Cross multiply
   90,027x = 194,493 × 194,493
4. Step 4: Simplify right side
   90,027x = 37,827,527,049
5. Step 5: Solve for x
   x = 37,827,527,049/90,027
6. Step 6: Final answer
   x = 420,179.80