Finding the Third Proportional to 89,619 and 194,952

Step by Step Solution

1. Step 1: Write the proportion equation
   89,619 : 194,952 = 194,952 : x
2. Step 2: Convert to fraction form
   89,619/194,952 = 194,952/x
3. Step 3: Cross multiply
   89,619x = 194,952 × 194,952
4. Step 4: Simplify right side
   89,619x = 38,006,282,304
5. Step 5: Solve for x
   x = 38,006,282,304/89,619
6. Step 6: Final answer
   x = 424,087.33