Finding the Third Proportional to 384,622.50 and 597,096

Step by Step Solution

1. Step 1: Write the proportion equation
   384,622.50 : 597,096 = 597,096 : x
2. Step 2: Convert to fraction form
   384,622.50/597,096 = 597,096/x
3. Step 3: Cross multiply
   384,622.50x = 597,096 × 597,096
4. Step 4: Simplify right side
   384,622.50x = 356,523,633,216
5. Step 5: Solve for x
   x = 356,523,633,216/384,622.50
6. Step 6: Final answer
   x = 926,944.30