Finding the Third Proportional to 423.56 and 577.34

Step by Step Solution

1. Step 1: Write the proportion equation
   423.56 : 577.34 = 577.34 : x
2. Step 2: Convert to fraction form
   423.56/577.34 = 577.34/x
3. Step 3: Cross multiply
   423.56x = 577.34 × 577.34
4. Step 4: Simplify right side
   423.56x = 333,316.78
5. Step 5: Solve for x
   x = 333,316.78/423.56
6. Step 6: Final answer
   x = 786.94