Finding the Third Proportional to 122,150 and 262,768

Step by Step Solution

1. Step 1: Write the proportion equation
   122,150 : 262,768 = 262,768 : x
2. Step 2: Convert to fraction form
   122,150/262,768 = 262,768/x
3. Step 3: Cross multiply
   122,150x = 262,768 × 262,768
4. Step 4: Simplify right side
   122,150x = 69,047,021,824
5. Step 5: Solve for x
   x = 69,047,021,824/122,150
6. Step 6: Final answer
   x = 565,264.20