Finding the Third Proportional to 69.61 and 146.81

Step by Step Solution

1. Step 1: Write the proportion equation
   69.61 : 146.81 = 146.81 : x
2. Step 2: Convert to fraction form
   69.61/146.81 = 146.81/x
3. Step 3: Cross multiply
   69.61x = 146.81 × 146.81
4. Step 4: Simplify right side
   69.61x = 21,553.91
5. Step 5: Solve for x
   x = 21,553.91/69.61
6. Step 6: Final answer
   x = 309.64