Finding the Third Proportional to 89,474 and 194,932

Step by Step Solution

1. Step 1: Write the proportion equation
   89,474 : 194,932 = 194,932 : x
2. Step 2: Convert to fraction form
   89,474/194,932 = 194,932/x
3. Step 3: Cross multiply
   89,474x = 194,932 × 194,932
4. Step 4: Simplify right side
   89,474x = 37,998,484,624
5. Step 5: Solve for x
   x = 37,998,484,624/89,474
6. Step 6: Final answer
   x = 424,687.45