Finding the Third Proportional to 120,451.50 and 261,656

Step by Step Solution

1. Step 1: Write the proportion equation
   120,451.50 : 261,656 = 261,656 : x
2. Step 2: Convert to fraction form
   120,451.50/261,656 = 261,656/x
3. Step 3: Cross multiply
   120,451.50x = 261,656 × 261,656
4. Step 4: Simplify right side
   120,451.50x = 68,463,862,336
5. Step 5: Solve for x
   x = 68,463,862,336/120,451.50
6. Step 6: Final answer
   x = 568,393.61