Finding the Third Proportional to 120,656 and 260,012

Step by Step Solution

1. Step 1: Write the proportion equation
   120,656 : 260,012 = 260,012 : x
2. Step 2: Convert to fraction form
   120,656/260,012 = 260,012/x
3. Step 3: Cross multiply
   120,656x = 260,012 × 260,012
4. Step 4: Simplify right side
   120,656x = 67,606,240,144
5. Step 5: Solve for x
   x = 67,606,240,144/120,656
6. Step 6: Final answer
   x = 560,322.24