Finding the Third Proportional to 199,536 and 315,904.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,536 : 315,904.50 = 315,904.50 : x
2. Step 2: Convert to fraction form
   199,536/315,904.50 = 315,904.50/x
3. Step 3: Cross multiply
   199,536x = 315,904.50 × 315,904.50
4. Step 4: Simplify right side
   199,536x = 99,795,653,120.25
5. Step 5: Solve for x
   x = 99,795,653,120.25/199,536
6. Step 6: Final answer
   x = 500,138.59