Finding the Third Proportional to 75.08 and 164.59

Step by Step Solution

1. Step 1: Write the proportion equation
   75.08 : 164.59 = 164.59 : x
2. Step 2: Convert to fraction form
   75.08/164.59 = 164.59/x
3. Step 3: Cross multiply
   75.08x = 164.59 × 164.59
4. Step 4: Simplify right side
   75.08x = 27,088.43
5. Step 5: Solve for x
   x = 27,088.43/75.08
6. Step 6: Final answer
   x = 360.77