Finding the Third Proportional to 193,867 and 284,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,867 : 284,410.50 = 284,410.50 : x
2. Step 2: Convert to fraction form
   193,867/284,410.50 = 284,410.50/x
3. Step 3: Cross multiply
   193,867x = 284,410.50 × 284,410.50
4. Step 4: Simplify right side
   193,867x = 80,889,332,510.25
5. Step 5: Solve for x
   x = 80,889,332,510.25/193,867
6. Step 6: Final answer
   x = 417,241.37