Finding the Third Proportional to 99,747 and 213,317.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,747 : 213,317.50 = 213,317.50 : x
2. Step 2: Convert to fraction form
   99,747/213,317.50 = 213,317.50/x
3. Step 3: Cross multiply
   99,747x = 213,317.50 × 213,317.50
4. Step 4: Simplify right side
   99,747x = 45,504,355,806.25
5. Step 5: Solve for x
   x = 45,504,355,806.25/99,747
6. Step 6: Final answer
   x = 456,197.74