Finding the Third Proportional to 89,124 and 195,416

Step by Step Solution

1. Step 1: Write the proportion equation
   89,124 : 195,416 = 195,416 : x
2. Step 2: Convert to fraction form
   89,124/195,416 = 195,416/x
3. Step 3: Cross multiply
   89,124x = 195,416 × 195,416
4. Step 4: Simplify right side
   89,124x = 38,187,413,056
5. Step 5: Solve for x
   x = 38,187,413,056/89,124
6. Step 6: Final answer
   x = 428,475.08