Finding the Third Proportional to 257,470.50 and 384,747

Step by Step Solution

1. Step 1: Write the proportion equation
   257,470.50 : 384,747 = 384,747 : x
2. Step 2: Convert to fraction form
   257,470.50/384,747 = 384,747/x
3. Step 3: Cross multiply
   257,470.50x = 384,747 × 384,747
4. Step 4: Simplify right side
   257,470.50x = 148,030,254,009
5. Step 5: Solve for x
   x = 148,030,254,009/257,470.50
6. Step 6: Final answer
   x = 574,940.64