Finding the Third Proportional to 257,464 and 384,736

Step by Step Solution

1. Step 1: Write the proportion equation
   257,464 : 384,736 = 384,736 : x
2. Step 2: Convert to fraction form
   257,464/384,736 = 384,736/x
3. Step 3: Cross multiply
   257,464x = 384,736 × 384,736
4. Step 4: Simplify right side
   257,464x = 148,021,789,696
5. Step 5: Solve for x
   x = 148,021,789,696/257,464
6. Step 6: Final answer
   x = 574,922.28