Finding the Third Proportional to 118,129 and 259,223

Step by Step Solution

1. Step 1: Write the proportion equation
   118,129 : 259,223 = 259,223 : x
2. Step 2: Convert to fraction form
   118,129/259,223 = 259,223/x
3. Step 3: Cross multiply
   118,129x = 259,223 × 259,223
4. Step 4: Simplify right side
   118,129x = 67,196,563,729
5. Step 5: Solve for x
   x = 67,196,563,729/118,129
6. Step 6: Final answer
   x = 568,840.54