Finding the Third Proportional to 123,216 and 263,926

Step by Step Solution

1. Step 1: Write the proportion equation
   123,216 : 263,926 = 263,926 : x
2. Step 2: Convert to fraction form
   123,216/263,926 = 263,926/x
3. Step 3: Cross multiply
   123,216x = 263,926 × 263,926
4. Step 4: Simplify right side
   123,216x = 69,656,933,476
5. Step 5: Solve for x
   x = 69,656,933,476/123,216
6. Step 6: Final answer
   x = 565,323.77