Finding the Third Proportional to 192,642 and 296,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   192,642 : 296,464.50 = 296,464.50 : x
2. Step 2: Convert to fraction form
   192,642/296,464.50 = 296,464.50/x
3. Step 3: Cross multiply
   192,642x = 296,464.50 × 296,464.50
4. Step 4: Simplify right side
   192,642x = 87,891,199,760.25
5. Step 5: Solve for x
   x = 87,891,199,760.25/192,642
6. Step 6: Final answer
   x = 456,241.11