Finding the Third Proportional to 117,978 and 259,284

Step by Step Solution

1. Step 1: Write the proportion equation
   117,978 : 259,284 = 259,284 : x
2. Step 2: Convert to fraction form
   117,978/259,284 = 259,284/x
3. Step 3: Cross multiply
   117,978x = 259,284 × 259,284
4. Step 4: Simplify right side
   117,978x = 67,228,192,656
5. Step 5: Solve for x
   x = 67,228,192,656/117,978
6. Step 6: Final answer
   x = 569,836.69