Finding the Third Proportional to 277.59 and 406.27

Step by Step Solution

1. Step 1: Write the proportion equation
   277.59 : 406.27 = 406.27 : x
2. Step 2: Convert to fraction form
   277.59/406.27 = 406.27/x
3. Step 3: Cross multiply
   277.59x = 406.27 × 406.27
4. Step 4: Simplify right side
   277.59x = 165,051.76
5. Step 5: Solve for x
   x = 165,051.76/277.59
6. Step 6: Final answer
   x = 594.58