Finding the Third Proportional to 118,867 and 259,058

Step by Step Solution

1. Step 1: Write the proportion equation
   118,867 : 259,058 = 259,058 : x
2. Step 2: Convert to fraction form
   118,867/259,058 = 259,058/x
3. Step 3: Cross multiply
   118,867x = 259,058 × 259,058
4. Step 4: Simplify right side
   118,867x = 67,111,047,364
5. Step 5: Solve for x
   x = 67,111,047,364/118,867
6. Step 6: Final answer
   x = 564,589.39