Finding the Third Proportional to 334,676.50 and 509,856

Step by Step Solution

1. Step 1: Write the proportion equation
   334,676.50 : 509,856 = 509,856 : x
2. Step 2: Convert to fraction form
   334,676.50/509,856 = 509,856/x
3. Step 3: Cross multiply
   334,676.50x = 509,856 × 509,856
4. Step 4: Simplify right side
   334,676.50x = 259,953,140,736
5. Step 5: Solve for x
   x = 259,953,140,736/334,676.50
6. Step 6: Final answer
   x = 776,729.59