Finding the Third Proportional to 256,426.50 and 558,006

Step by Step Solution

1. Step 1: Write the proportion equation
   256,426.50 : 558,006 = 558,006 : x
2. Step 2: Convert to fraction form
   256,426.50/558,006 = 558,006/x
3. Step 3: Cross multiply
   256,426.50x = 558,006 × 558,006
4. Step 4: Simplify right side
   256,426.50x = 311,370,696,036
5. Step 5: Solve for x
   x = 311,370,696,036/256,426.50
6. Step 6: Final answer
   x = 1,214,268.79