Finding the Third Proportional to 193,728 and 261,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,728 : 261,661.50 = 261,661.50 : x
2. Step 2: Convert to fraction form
   193,728/261,661.50 = 261,661.50/x
3. Step 3: Cross multiply
   193,728x = 261,661.50 × 261,661.50
4. Step 4: Simplify right side
   193,728x = 68,466,740,582.25
5. Step 5: Solve for x
   x = 68,466,740,582.25/193,728
6. Step 6: Final answer
   x = 353,416.86