Finding the Third Proportional to 346.69 and 741.38

Step by Step Solution

1. Step 1: Write the proportion equation
   346.69 : 741.38 = 741.38 : x
2. Step 2: Convert to fraction form
   346.69/741.38 = 741.38/x
3. Step 3: Cross multiply
   346.69x = 741.38 × 741.38
4. Step 4: Simplify right side
   346.69x = 549,636.89
5. Step 5: Solve for x
   x = 549,636.89/346.69
6. Step 6: Final answer
   x = 1,585.40