Finding the Third Proportional to 192,517 and 296,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   192,517 : 296,293.50 = 296,293.50 : x
2. Step 2: Convert to fraction form
   192,517/296,293.50 = 296,293.50/x
3. Step 3: Cross multiply
   192,517x = 296,293.50 × 296,293.50
4. Step 4: Simplify right side
   192,517x = 87,789,838,142.25
5. Step 5: Solve for x
   x = 87,789,838,142.25/192,517
6. Step 6: Final answer
   x = 456,010.84