Finding the Third Proportional to 115,919 and 254,004

Step by Step Solution

1. Step 1: Write the proportion equation
   115,919 : 254,004 = 254,004 : x
2. Step 2: Convert to fraction form
   115,919/254,004 = 254,004/x
3. Step 3: Cross multiply
   115,919x = 254,004 × 254,004
4. Step 4: Simplify right side
   115,919x = 64,518,032,016
5. Step 5: Solve for x
   x = 64,518,032,016/115,919
6. Step 6: Final answer
   x = 556,578.58