Finding the Third Proportional to 180.63 and 401.69

Step by Step Solution

1. Step 1: Write the proportion equation
   180.63 : 401.69 = 401.69 : x
2. Step 2: Convert to fraction form
   180.63/401.69 = 401.69/x
3. Step 3: Cross multiply
   180.63x = 401.69 × 401.69
4. Step 4: Simplify right side
   180.63x = 161,352.85
5. Step 5: Solve for x
   x = 161,352.85/180.63
6. Step 6: Final answer
   x = 893.30