Finding the Third Proportional to 96,468.25 and 206,780

Step by Step Solution

1. Step 1: Write the proportion equation
   96,468.25 : 206,780 = 206,780 : x
2. Step 2: Convert to fraction form
   96,468.25/206,780 = 206,780/x
3. Step 3: Cross multiply
   96,468.25x = 206,780 × 206,780
4. Step 4: Simplify right side
   96,468.25x = 42,757,968,400
5. Step 5: Solve for x
   x = 42,757,968,400/96,468.25
6. Step 6: Final answer
   x = 443,233.59