Finding the Third Proportional to 428.63 and 597.38

Step by Step Solution

1. Step 1: Write the proportion equation
   428.63 : 597.38 = 597.38 : x
2. Step 2: Convert to fraction form
   428.63/597.38 = 597.38/x
3. Step 3: Cross multiply
   428.63x = 597.38 × 597.38
4. Step 4: Simplify right side
   428.63x = 356,856.89
5. Step 5: Solve for x
   x = 356,856.89/428.63
6. Step 6: Final answer
   x = 832.56