Finding the Third Proportional to 135,986 and 191,160.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,986 : 191,160.50 = 191,160.50 : x
2. Step 2: Convert to fraction form
   135,986/191,160.50 = 191,160.50/x
3. Step 3: Cross multiply
   135,986x = 191,160.50 × 191,160.50
4. Step 4: Simplify right side
   135,986x = 36,542,336,760.25
5. Step 5: Solve for x
   x = 36,542,336,760.25/135,986
6. Step 6: Final answer
   x = 268,721.32