Finding the Third Proportional to 96,723 and 213,061

Step by Step Solution

1. Step 1: Write the proportion equation
   96,723 : 213,061 = 213,061 : x
2. Step 2: Convert to fraction form
   96,723/213,061 = 213,061/x
3. Step 3: Cross multiply
   96,723x = 213,061 × 213,061
4. Step 4: Simplify right side
   96,723x = 45,394,989,721
5. Step 5: Solve for x
   x = 45,394,989,721/96,723
6. Step 6: Final answer
   x = 469,329.84