Finding the Third Proportional to 164.81 and 346.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164.81 : 346.50 = 346.50 : x
2. Step 2: Convert to fraction form
   164.81/346.50 = 346.50/x
3. Step 3: Cross multiply
   164.81x = 346.50 × 346.50
4. Step 4: Simplify right side
   164.81x = 120,062.25
5. Step 5: Solve for x
   x = 120,062.25/164.81
6. Step 6: Final answer
   x = 728.48