Finding the Third Proportional to 256,404 and 561,118.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,404 : 561,118.50 = 561,118.50 : x
2. Step 2: Convert to fraction form
   256,404/561,118.50 = 561,118.50/x
3. Step 3: Cross multiply
   256,404x = 561,118.50 × 561,118.50
4. Step 4: Simplify right side
   256,404x = 314,853,971,042.25
5. Step 5: Solve for x
   x = 314,853,971,042.25/256,404
6. Step 6: Final answer
   x = 1,227,960.45