Finding the Third Proportional to 118,978 and 259,258

Step by Step Solution

1. Step 1: Write the proportion equation
   118,978 : 259,258 = 259,258 : x
2. Step 2: Convert to fraction form
   118,978/259,258 = 259,258/x
3. Step 3: Cross multiply
   118,978x = 259,258 × 259,258
4. Step 4: Simplify right side
   118,978x = 67,214,710,564
5. Step 5: Solve for x
   x = 67,214,710,564/118,978
6. Step 6: Final answer
   x = 564,933.94