Finding the Third Proportional to 123,854 and 263,692

Step by Step Solution

1. Step 1: Write the proportion equation
   123,854 : 263,692 = 263,692 : x
2. Step 2: Convert to fraction form
   123,854/263,692 = 263,692/x
3. Step 3: Cross multiply
   123,854x = 263,692 × 263,692
4. Step 4: Simplify right side
   123,854x = 69,533,470,864
5. Step 5: Solve for x
   x = 69,533,470,864/123,854
6. Step 6: Final answer
   x = 561,414.82