Finding the Third Proportional to 150,626 and 233,085

Step by Step Solution

1. Step 1: Write the proportion equation
   150,626 : 233,085 = 233,085 : x
2. Step 2: Convert to fraction form
   150,626/233,085 = 233,085/x
3. Step 3: Cross multiply
   150,626x = 233,085 × 233,085
4. Step 4: Simplify right side
   150,626x = 54,328,617,225
5. Step 5: Solve for x
   x = 54,328,617,225/150,626
6. Step 6: Final answer
   x = 360,685.52