Finding the Third Proportional to 99,360 and 216,564

Step by Step Solution

1. Step 1: Write the proportion equation
   99,360 : 216,564 = 216,564 : x
2. Step 2: Convert to fraction form
   99,360/216,564 = 216,564/x
3. Step 3: Cross multiply
   99,360x = 216,564 × 216,564
4. Step 4: Simplify right side
   99,360x = 46,899,966,096
5. Step 5: Solve for x
   x = 46,899,966,096/99,360
6. Step 6: Final answer
   x = 472,020.59