Finding the Third Proportional to 120,774 and 262,324.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,774 : 262,324.50 = 262,324.50 : x
2. Step 2: Convert to fraction form
   120,774/262,324.50 = 262,324.50/x
3. Step 3: Cross multiply
   120,774x = 262,324.50 × 262,324.50
4. Step 4: Simplify right side
   120,774x = 68,814,143,300.25
5. Step 5: Solve for x
   x = 68,814,143,300.25/120,774
6. Step 6: Final answer
   x = 569,776.14