Finding the Third Proportional to 120,956 and 256,552

Step by Step Solution

1. Step 1: Write the proportion equation
   120,956 : 256,552 = 256,552 : x
2. Step 2: Convert to fraction form
   120,956/256,552 = 256,552/x
3. Step 3: Cross multiply
   120,956x = 256,552 × 256,552
4. Step 4: Simplify right side
   120,956x = 65,818,928,704
5. Step 5: Solve for x
   x = 65,818,928,704/120,956
6. Step 6: Final answer
   x = 544,155.96