Finding the Third Proportional to 334,866 and 510,160.50

Step by Step Solution

1. Step 1: Write the proportion equation
   334,866 : 510,160.50 = 510,160.50 : x
2. Step 2: Convert to fraction form
   334,866/510,160.50 = 510,160.50/x
3. Step 3: Cross multiply
   334,866x = 510,160.50 × 510,160.50
4. Step 4: Simplify right side
   334,866x = 260,263,735,760.25
5. Step 5: Solve for x
   x = 260,263,735,760.25/334,866
6. Step 6: Final answer
   x = 777,217.56