Finding the Third Proportional to 89,150 and 194,288

Step by Step Solution

1. Step 1: Write the proportion equation
   89,150 : 194,288 = 194,288 : x
2. Step 2: Convert to fraction form
   89,150/194,288 = 194,288/x
3. Step 3: Cross multiply
   89,150x = 194,288 × 194,288
4. Step 4: Simplify right side
   89,150x = 37,747,826,944
5. Step 5: Solve for x
   x = 37,747,826,944/89,150
6. Step 6: Final answer
   x = 423,419.26