Finding the Third Proportional to 150.56 and 310.69

Step by Step Solution

1. Step 1: Write the proportion equation
   150.56 : 310.69 = 310.69 : x
2. Step 2: Convert to fraction form
   150.56/310.69 = 310.69/x
3. Step 3: Cross multiply
   150.56x = 310.69 × 310.69
4. Step 4: Simplify right side
   150.56x = 96,526.72
5. Step 5: Solve for x
   x = 96,526.72/150.56
6. Step 6: Final answer
   x = 641.11