Finding the Third Proportional to 123,168 and 263,184

Step by Step Solution

1. Step 1: Write the proportion equation
   123,168 : 263,184 = 263,184 : x
2. Step 2: Convert to fraction form
   123,168/263,184 = 263,184/x
3. Step 3: Cross multiply
   123,168x = 263,184 × 263,184
4. Step 4: Simplify right side
   123,168x = 69,265,817,856
5. Step 5: Solve for x
   x = 69,265,817,856/123,168
6. Step 6: Final answer
   x = 562,368.62