Finding the Third Proportional to 193,668 and 419,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,668 : 419,506.50 = 419,506.50 : x
2. Step 2: Convert to fraction form
   193,668/419,506.50 = 419,506.50/x
3. Step 3: Cross multiply
   193,668x = 419,506.50 × 419,506.50
4. Step 4: Simplify right side
   193,668x = 175,985,703,542.25
5. Step 5: Solve for x
   x = 175,985,703,542.25/193,668
6. Step 6: Final answer
   x = 908,697.89