Finding the Third Proportional to 123,372 and 256,434

Step by Step Solution

1. Step 1: Write the proportion equation
   123,372 : 256,434 = 256,434 : x
2. Step 2: Convert to fraction form
   123,372/256,434 = 256,434/x
3. Step 3: Cross multiply
   123,372x = 256,434 × 256,434
4. Step 4: Simplify right side
   123,372x = 65,758,396,356
5. Step 5: Solve for x
   x = 65,758,396,356/123,372
6. Step 6: Final answer
   x = 533,009.08