Finding the Third Proportional to 89,280 and 195,552

Step by Step Solution

1. Step 1: Write the proportion equation
   89,280 : 195,552 = 195,552 : x
2. Step 2: Convert to fraction form
   89,280/195,552 = 195,552/x
3. Step 3: Cross multiply
   89,280x = 195,552 × 195,552
4. Step 4: Simplify right side
   89,280x = 38,240,584,704
5. Step 5: Solve for x
   x = 38,240,584,704/89,280
6. Step 6: Final answer
   x = 428,321.96