Finding the Third Proportional to 149.91 and 310.27

Step by Step Solution

1. Step 1: Write the proportion equation
   149.91 : 310.27 = 310.27 : x
2. Step 2: Convert to fraction form
   149.91/310.27 = 310.27/x
3. Step 3: Cross multiply
   149.91x = 310.27 × 310.27
4. Step 4: Simplify right side
   149.91x = 96,264.76
5. Step 5: Solve for x
   x = 96,264.76/149.91
6. Step 6: Final answer
   x = 642.17