Finding the Third Proportional to 118,476 and 259,096

Step by Step Solution

1. Step 1: Write the proportion equation
   118,476 : 259,096 = 259,096 : x
2. Step 2: Convert to fraction form
   118,476/259,096 = 259,096/x
3. Step 3: Cross multiply
   118,476x = 259,096 × 259,096
4. Step 4: Simplify right side
   118,476x = 67,130,737,216
5. Step 5: Solve for x
   x = 67,130,737,216/118,476
6. Step 6: Final answer
   x = 566,618.87