Finding the Third Proportional to 118,663 and 259,208

Step by Step Solution

1. Step 1: Write the proportion equation
   118,663 : 259,208 = 259,208 : x
2. Step 2: Convert to fraction form
   118,663/259,208 = 259,208/x
3. Step 3: Cross multiply
   118,663x = 259,208 × 259,208
4. Step 4: Simplify right side
   118,663x = 67,188,787,264
5. Step 5: Solve for x
   x = 67,188,787,264/118,663
6. Step 6: Final answer
   x = 566,215.14