Finding the Third Proportional to 121,494 and 262,956

Step by Step Solution

1. Step 1: Write the proportion equation
   121,494 : 262,956 = 262,956 : x
2. Step 2: Convert to fraction form
   121,494/262,956 = 262,956/x
3. Step 3: Cross multiply
   121,494x = 262,956 × 262,956
4. Step 4: Simplify right side
   121,494x = 69,145,857,936
5. Step 5: Solve for x
   x = 69,145,857,936/121,494
6. Step 6: Final answer
   x = 569,129.82