Finding the Third Proportional to 434.63 and 577.31

Step by Step Solution

1. Step 1: Write the proportion equation
   434.63 : 577.31 = 577.31 : x
2. Step 2: Convert to fraction form
   434.63/577.31 = 577.31/x
3. Step 3: Cross multiply
   434.63x = 577.31 × 577.31
4. Step 4: Simplify right side
   434.63x = 333,289.72
5. Step 5: Solve for x
   x = 333,289.72/434.63
6. Step 6: Final answer
   x = 766.84