Finding the Third Proportional to 96,797 and 212,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,797 : 212,223.50 = 212,223.50 : x
2. Step 2: Convert to fraction form
   96,797/212,223.50 = 212,223.50/x
3. Step 3: Cross multiply
   96,797x = 212,223.50 × 212,223.50
4. Step 4: Simplify right side
   96,797x = 45,038,813,952.25
5. Step 5: Solve for x
   x = 45,038,813,952.25/96,797
6. Step 6: Final answer
   x = 465,291.42