Finding the Third Proportional to 89,592 and 195,600

Step by Step Solution

1. Step 1: Write the proportion equation
   89,592 : 195,600 = 195,600 : x
2. Step 2: Convert to fraction form
   89,592/195,600 = 195,600/x
3. Step 3: Cross multiply
   89,592x = 195,600 × 195,600
4. Step 4: Simplify right side
   89,592x = 38,259,360,000
5. Step 5: Solve for x
   x = 38,259,360,000/89,592
6. Step 6: Final answer
   x = 427,039.91