Finding the Third Proportional to 334,679.50 and 509,864

Step by Step Solution

1. Step 1: Write the proportion equation
   334,679.50 : 509,864 = 509,864 : x
2. Step 2: Convert to fraction form
   334,679.50/509,864 = 509,864/x
3. Step 3: Cross multiply
   334,679.50x = 509,864 × 509,864
4. Step 4: Simplify right side
   334,679.50x = 259,961,298,496
5. Step 5: Solve for x
   x = 259,961,298,496/334,679.50
6. Step 6: Final answer
   x = 776,747.00