Finding the Third Proportional to 120,314 and 262,012

Step by Step Solution

1. Step 1: Write the proportion equation
   120,314 : 262,012 = 262,012 : x
2. Step 2: Convert to fraction form
   120,314/262,012 = 262,012/x
3. Step 3: Cross multiply
   120,314x = 262,012 × 262,012
4. Step 4: Simplify right side
   120,314x = 68,650,288,144
5. Step 5: Solve for x
   x = 68,650,288,144/120,314
6. Step 6: Final answer
   x = 570,592.68