Finding the Third Proportional to 89,414 and 194,860

Step by Step Solution

1. Step 1: Write the proportion equation
   89,414 : 194,860 = 194,860 : x
2. Step 2: Convert to fraction form
   89,414/194,860 = 194,860/x
3. Step 3: Cross multiply
   89,414x = 194,860 × 194,860
4. Step 4: Simplify right side
   89,414x = 37,970,419,600
5. Step 5: Solve for x
   x = 37,970,419,600/89,414
6. Step 6: Final answer
   x = 424,658.55