Finding the Third Proportional to 69.89 and 149.34

Step by Step Solution

1. Step 1: Write the proportion equation
   69.89 : 149.34 = 149.34 : x
2. Step 2: Convert to fraction form
   69.89/149.34 = 149.34/x
3. Step 3: Cross multiply
   69.89x = 149.34 × 149.34
4. Step 4: Simplify right side
   69.89x = 22,303.56
5. Step 5: Solve for x
   x = 22,303.56/69.89
6. Step 6: Final answer
   x = 319.12