Finding the Third Proportional to 293.06 and 401.34

Step by Step Solution

1. Step 1: Write the proportion equation
   293.06 : 401.34 = 401.34 : x
2. Step 2: Convert to fraction form
   293.06/401.34 = 401.34/x
3. Step 3: Cross multiply
   293.06x = 401.34 × 401.34
4. Step 4: Simplify right side
   293.06x = 161,076.81
5. Step 5: Solve for x
   x = 161,076.81/293.06
6. Step 6: Final answer
   x = 549.63