Finding the Third Proportional to 69.88 and 149.31

Step by Step Solution

1. Step 1: Write the proportion equation
   69.88 : 149.31 = 149.31 : x
2. Step 2: Convert to fraction form
   69.88/149.31 = 149.31/x
3. Step 3: Cross multiply
   69.88x = 149.31 × 149.31
4. Step 4: Simplify right side
   69.88x = 22,294.22
5. Step 5: Solve for x
   x = 22,294.22/69.88
6. Step 6: Final answer
   x = 319.06