Finding the Third Proportional to 118,871 and 259,066

Step by Step Solution

1. Step 1: Write the proportion equation
   118,871 : 259,066 = 259,066 : x
2. Step 2: Convert to fraction form
   118,871/259,066 = 259,066/x
3. Step 3: Cross multiply
   118,871x = 259,066 × 259,066
4. Step 4: Simplify right side
   118,871x = 67,115,192,356
5. Step 5: Solve for x
   x = 67,115,192,356/118,871
6. Step 6: Final answer
   x = 564,605.26