Finding the Third Proportional to 123.40 and 180.35

Step by Step Solution

1. Step 1: Write the proportion equation
   123.40 : 180.35 = 180.35 : x
2. Step 2: Convert to fraction form
   123.40/180.35 = 180.35/x
3. Step 3: Cross multiply
   123.40x = 180.35 × 180.35
4. Step 4: Simplify right side
   123.40x = 32,526.69
5. Step 5: Solve for x
   x = 32,526.69/123.40
6. Step 6: Final answer
   x = 263.59