Finding the Third Proportional to 341.72 and 726.15

Step by Step Solution

1. Step 1: Write the proportion equation
   341.72 : 726.15 = 726.15 : x
2. Step 2: Convert to fraction form
   341.72/726.15 = 726.15/x
3. Step 3: Cross multiply
   341.72x = 726.15 × 726.15
4. Step 4: Simplify right side
   341.72x = 527,297.23
5. Step 5: Solve for x
   x = 527,297.23/341.72
6. Step 6: Final answer
   x = 1,543.07