Finding the Third Proportional to 173.81 and 266.20

Step by Step Solution

1. Step 1: Write the proportion equation
   173.81 : 266.20 = 266.20 : x
2. Step 2: Convert to fraction form
   173.81/266.20 = 266.20/x
3. Step 3: Cross multiply
   173.81x = 266.20 × 266.20
4. Step 4: Simplify right side
   173.81x = 70,864.10
5. Step 5: Solve for x
   x = 70,864.10/173.81
6. Step 6: Final answer
   x = 407.70