Finding the Third Proportional to 89,280 and 196,416

Step by Step Solution

1. Step 1: Write the proportion equation
   89,280 : 196,416 = 196,416 : x
2. Step 2: Convert to fraction form
   89,280/196,416 = 196,416/x
3. Step 3: Cross multiply
   89,280x = 196,416 × 196,416
4. Step 4: Simplify right side
   89,280x = 38,579,245,056
5. Step 5: Solve for x
   x = 38,579,245,056/89,280
6. Step 6: Final answer
   x = 432,115.20