Finding the Third Proportional to 122,705.50 and 259,556

Step by Step Solution

1. Step 1: Write the proportion equation
   122,705.50 : 259,556 = 259,556 : x
2. Step 2: Convert to fraction form
   122,705.50/259,556 = 259,556/x
3. Step 3: Cross multiply
   122,705.50x = 259,556 × 259,556
4. Step 4: Simplify right side
   122,705.50x = 67,369,317,136
5. Step 5: Solve for x
   x = 67,369,317,136/122,705.50
6. Step 6: Final answer
   x = 549,032.58