Finding the Third Proportional to 123.40 and 181.30

Step by Step Solution

1. Step 1: Write the proportion equation
   123.40 : 181.30 = 181.30 : x
2. Step 2: Convert to fraction form
   123.40/181.30 = 181.30/x
3. Step 3: Cross multiply
   123.40x = 181.30 × 181.30
4. Step 4: Simplify right side
   123.40x = 32,869.97
5. Step 5: Solve for x
   x = 32,869.97/123.40
6. Step 6: Final answer
   x = 266.37