Finding the Third Proportional to 264,583.50 and 397,470

Step by Step Solution

1. Step 1: Write the proportion equation
   264,583.50 : 397,470 = 397,470 : x
2. Step 2: Convert to fraction form
   264,583.50/397,470 = 397,470/x
3. Step 3: Cross multiply
   264,583.50x = 397,470 × 397,470
4. Step 4: Simplify right side
   264,583.50x = 157,982,400,900
5. Step 5: Solve for x
   x = 157,982,400,900/264,583.50
6. Step 6: Final answer
   x = 597,098.46