Finding the Third Proportional to 123,876 and 263,736

Step by Step Solution

1. Step 1: Write the proportion equation
   123,876 : 263,736 = 263,736 : x
2. Step 2: Convert to fraction form
   123,876/263,736 = 263,736/x
3. Step 3: Cross multiply
   123,876x = 263,736 × 263,736
4. Step 4: Simplify right side
   123,876x = 69,556,677,696
5. Step 5: Solve for x
   x = 69,556,677,696/123,876
6. Step 6: Final answer
   x = 561,502.45