Finding the Third Proportional to 96,216 and 205,500

Step by Step Solution

1. Step 1: Write the proportion equation
   96,216 : 205,500 = 205,500 : x
2. Step 2: Convert to fraction form
   96,216/205,500 = 205,500/x
3. Step 3: Cross multiply
   96,216x = 205,500 × 205,500
4. Step 4: Simplify right side
   96,216x = 42,230,250,000
5. Step 5: Solve for x
   x = 42,230,250,000/96,216
6. Step 6: Final answer
   x = 438,910.89