Finding the Third Proportional to 394,878 and 577,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   394,878 : 577,507.50 = 577,507.50 : x
2. Step 2: Convert to fraction form
   394,878/577,507.50 = 577,507.50/x
3. Step 3: Cross multiply
   394,878x = 577,507.50 × 577,507.50
4. Step 4: Simplify right side
   394,878x = 333,514,912,556.25
5. Step 5: Solve for x
   x = 333,514,912,556.25/394,878
6. Step 6: Final answer
   x = 844,602.42