Finding the Third Proportional to 118,842 and 259,008

Step by Step Solution

1. Step 1: Write the proportion equation
   118,842 : 259,008 = 259,008 : x
2. Step 2: Convert to fraction form
   118,842/259,008 = 259,008/x
3. Step 3: Cross multiply
   118,842x = 259,008 × 259,008
4. Step 4: Simplify right side
   118,842x = 67,085,144,064
5. Step 5: Solve for x
   x = 67,085,144,064/118,842
6. Step 6: Final answer
   x = 564,490.20