Finding the Third Proportional to 193,665 and 419,488.13

Step by Step Solution

1. Step 1: Write the proportion equation
   193,665 : 419,488.13 = 419,488.13 : x
2. Step 2: Convert to fraction form
   193,665/419,488.13 = 419,488.13/x
3. Step 3: Cross multiply
   193,665x = 419,488.13 × 419,488.13
4. Step 4: Simplify right side
   193,665x = 175,970,287,016.02
5. Step 5: Solve for x
   x = 175,970,287,016.02/193,665
6. Step 6: Final answer
   x = 908,632.37