Finding the Third Proportional to 180.25 and 279.69

Step by Step Solution

1. Step 1: Write the proportion equation
   180.25 : 279.69 = 279.69 : x
2. Step 2: Convert to fraction form
   180.25/279.69 = 279.69/x
3. Step 3: Cross multiply
   180.25x = 279.69 × 279.69
4. Step 4: Simplify right side
   180.25x = 78,225.10
5. Step 5: Solve for x
   x = 78,225.10/180.25
6. Step 6: Final answer
   x = 433.98