Finding the Third Proportional to 96,747 and 200,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,747 : 200,329.50 = 200,329.50 : x
2. Step 2: Convert to fraction form
   96,747/200,329.50 = 200,329.50/x
3. Step 3: Cross multiply
   96,747x = 200,329.50 × 200,329.50
4. Step 4: Simplify right side
   96,747x = 40,131,908,570.25
5. Step 5: Solve for x
   x = 40,131,908,570.25/96,747
6. Step 6: Final answer
   x = 414,812.95