Finding the Third Proportional to 256,498.50 and 556,806

Step by Step Solution

1. Step 1: Write the proportion equation
   256,498.50 : 556,806 = 556,806 : x
2. Step 2: Convert to fraction form
   256,498.50/556,806 = 556,806/x
3. Step 3: Cross multiply
   256,498.50x = 556,806 × 556,806
4. Step 4: Simplify right side
   256,498.50x = 310,032,921,636
5. Step 5: Solve for x
   x = 310,032,921,636/256,498.50
6. Step 6: Final answer
   x = 1,208,712.42