Finding the Third Proportional to 263,081.25 and 384,780

Step by Step Solution

1. Step 1: Write the proportion equation
   263,081.25 : 384,780 = 384,780 : x
2. Step 2: Convert to fraction form
   263,081.25/384,780 = 384,780/x
3. Step 3: Cross multiply
   263,081.25x = 384,780 × 384,780
4. Step 4: Simplify right side
   263,081.25x = 148,055,648,400
5. Step 5: Solve for x
   x = 148,055,648,400/263,081.25
6. Step 6: Final answer
   x = 562,775.37