Finding the Third Proportional to 192,105 and 283,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   192,105 : 283,189.50 = 283,189.50 : x
2. Step 2: Convert to fraction form
   192,105/283,189.50 = 283,189.50/x
3. Step 3: Cross multiply
   192,105x = 283,189.50 × 283,189.50
4. Step 4: Simplify right side
   192,105x = 80,196,292,910.25
5. Step 5: Solve for x
   x = 80,196,292,910.25/192,105
6. Step 6: Final answer
   x = 417,460.73