Finding the Third Proportional to 118,623 and 259,134

Step by Step Solution

1. Step 1: Write the proportion equation
   118,623 : 259,134 = 259,134 : x
2. Step 2: Convert to fraction form
   118,623/259,134 = 259,134/x
3. Step 3: Cross multiply
   118,623x = 259,134 × 259,134
4. Step 4: Simplify right side
   118,623x = 67,150,429,956
5. Step 5: Solve for x
   x = 67,150,429,956/118,623
6. Step 6: Final answer
   x = 566,082.72