Finding the Third Proportional to 257,048 and 384,060

Step by Step Solution

1. Step 1: Write the proportion equation
   257,048 : 384,060 = 384,060 : x
2. Step 2: Convert to fraction form
   257,048/384,060 = 384,060/x
3. Step 3: Cross multiply
   257,048x = 384,060 × 384,060
4. Step 4: Simplify right side
   257,048x = 147,502,083,600
5. Step 5: Solve for x
   x = 147,502,083,600/257,048
6. Step 6: Final answer
   x = 573,830.89