Finding the Third Proportional to 99,847 and 216,308

Step by Step Solution

1. Step 1: Write the proportion equation
   99,847 : 216,308 = 216,308 : x
2. Step 2: Convert to fraction form
   99,847/216,308 = 216,308/x
3. Step 3: Cross multiply
   99,847x = 216,308 × 216,308
4. Step 4: Simplify right side
   99,847x = 46,789,150,864
5. Step 5: Solve for x
   x = 46,789,150,864/99,847
6. Step 6: Final answer
   x = 468,608.48