Finding the Third Proportional to 256,435.31 and 558,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,435.31 : 558,022.50 = 558,022.50 : x
2. Step 2: Convert to fraction form
   256,435.31/558,022.50 = 558,022.50/x
3. Step 3: Cross multiply
   256,435.31x = 558,022.50 × 558,022.50
4. Step 4: Simplify right side
   256,435.31x = 311,389,110,506.25
5. Step 5: Solve for x
   x = 311,389,110,506.25/256,435.31
6. Step 6: Final answer
   x = 1,214,298.87