Finding the Third Proportional to 120,018 and 261,196

Step by Step Solution

1. Step 1: Write the proportion equation
   120,018 : 261,196 = 261,196 : x
2. Step 2: Convert to fraction form
   120,018/261,196 = 261,196/x
3. Step 3: Cross multiply
   120,018x = 261,196 × 261,196
4. Step 4: Simplify right side
   120,018x = 68,223,350,416
5. Step 5: Solve for x
   x = 68,223,350,416/120,018
6. Step 6: Final answer
   x = 568,442.65