Finding the Third Proportional to 123,884 and 263,752

Step by Step Solution

1. Step 1: Write the proportion equation
   123,884 : 263,752 = 263,752 : x
2. Step 2: Convert to fraction form
   123,884/263,752 = 263,752/x
3. Step 3: Cross multiply
   123,884x = 263,752 × 263,752
4. Step 4: Simplify right side
   123,884x = 69,565,117,504
5. Step 5: Solve for x
   x = 69,565,117,504/123,884
6. Step 6: Final answer
   x = 561,534.32