Finding the Third Proportional to 89,928 and 194,436

Step by Step Solution

1. Step 1: Write the proportion equation
   89,928 : 194,436 = 194,436 : x
2. Step 2: Convert to fraction form
   89,928/194,436 = 194,436/x
3. Step 3: Cross multiply
   89,928x = 194,436 × 194,436
4. Step 4: Simplify right side
   89,928x = 37,805,358,096
5. Step 5: Solve for x
   x = 37,805,358,096/89,928
6. Step 6: Final answer
   x = 420,395.85