Finding the Third Proportional to 78.25 and 164.63

Step by Step Solution

1. Step 1: Write the proportion equation
   78.25 : 164.63 = 164.63 : x
2. Step 2: Convert to fraction form
   78.25/164.63 = 164.63/x
3. Step 3: Cross multiply
   78.25x = 164.63 × 164.63
4. Step 4: Simplify right side
   78.25x = 27,101.39
5. Step 5: Solve for x
   x = 27,101.39/78.25
6. Step 6: Final answer
   x = 346.34