Finding the Third Proportional to 150,588.75 and 200,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,588.75 : 200,758.50 = 200,758.50 : x
2. Step 2: Convert to fraction form
   150,588.75/200,758.50 = 200,758.50/x
3. Step 3: Cross multiply
   150,588.75x = 200,758.50 × 200,758.50
4. Step 4: Simplify right side
   150,588.75x = 40,303,975,322.25
5. Step 5: Solve for x
   x = 40,303,975,322.25/150,588.75
6. Step 6: Final answer
   x = 267,642.67