Finding the Third Proportional to 425,256 and 577,788

Step by Step Solution

1. Step 1: Write the proportion equation
   425,256 : 577,788 = 577,788 : x
2. Step 2: Convert to fraction form
   425,256/577,788 = 577,788/x
3. Step 3: Cross multiply
   425,256x = 577,788 × 577,788
4. Step 4: Simplify right side
   425,256x = 333,838,972,944
5. Step 5: Solve for x
   x = 333,838,972,944/425,256
6. Step 6: Final answer
   x = 785,030.60