Finding the Third Proportional to 99,188 and 215,872

Step by Step Solution

1. Step 1: Write the proportion equation
   99,188 : 215,872 = 215,872 : x
2. Step 2: Convert to fraction form
   99,188/215,872 = 215,872/x
3. Step 3: Cross multiply
   99,188x = 215,872 × 215,872
4. Step 4: Simplify right side
   99,188x = 46,600,720,384
5. Step 5: Solve for x
   x = 46,600,720,384/99,188
6. Step 6: Final answer
   x = 469,822.16