Finding the Third Proportional to 99,216 and 213,984

Step by Step Solution

1. Step 1: Write the proportion equation
   99,216 : 213,984 = 213,984 : x
2. Step 2: Convert to fraction form
   99,216/213,984 = 213,984/x
3. Step 3: Cross multiply
   99,216x = 213,984 × 213,984
4. Step 4: Simplify right side
   99,216x = 45,789,152,256
5. Step 5: Solve for x
   x = 45,789,152,256/99,216
6. Step 6: Final answer
   x = 461,509.76