Finding the Third Proportional to 117,628 and 256,406

Step by Step Solution

1. Step 1: Write the proportion equation
   117,628 : 256,406 = 256,406 : x
2. Step 2: Convert to fraction form
   117,628/256,406 = 256,406/x
3. Step 3: Cross multiply
   117,628x = 256,406 × 256,406
4. Step 4: Simplify right side
   117,628x = 65,744,036,836
5. Step 5: Solve for x
   x = 65,744,036,836/117,628
6. Step 6: Final answer
   x = 558,914.86