Finding the Third Proportional to 69.33 and 164.86

Step by Step Solution

1. Step 1: Write the proportion equation
   69.33 : 164.86 = 164.86 : x
2. Step 2: Convert to fraction form
   69.33/164.86 = 164.86/x
3. Step 3: Cross multiply
   69.33x = 164.86 × 164.86
4. Step 4: Simplify right side
   69.33x = 27,178.61
5. Step 5: Solve for x
   x = 27,178.61/69.33
6. Step 6: Final answer
   x = 392.03