Finding the Third Proportional to 104.34 and 277.59

Step by Step Solution

1. Step 1: Write the proportion equation
   104.34 : 277.59 = 277.59 : x
2. Step 2: Convert to fraction form
   104.34/277.59 = 277.59/x
3. Step 3: Cross multiply
   104.34x = 277.59 × 277.59
4. Step 4: Simplify right side
   104.34x = 77,058.29
5. Step 5: Solve for x
   x = 77,058.29/104.34
6. Step 6: Final answer
   x = 738.50