Finding the Third Proportional to 334,648.50 and 509,814

Step by Step Solution

1. Step 1: Write the proportion equation
   334,648.50 : 509,814 = 509,814 : x
2. Step 2: Convert to fraction form
   334,648.50/509,814 = 509,814/x
3. Step 3: Cross multiply
   334,648.50x = 509,814 × 509,814
4. Step 4: Simplify right side
   334,648.50x = 259,910,314,596
5. Step 5: Solve for x
   x = 259,910,314,596/334,648.50
6. Step 6: Final answer
   x = 776,666.61