Finding the Third Proportional to 334,377 and 513,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   334,377 : 513,229.50 = 513,229.50 : x
2. Step 2: Convert to fraction form
   334,377/513,229.50 = 513,229.50/x
3. Step 3: Cross multiply
   334,377x = 513,229.50 × 513,229.50
4. Step 4: Simplify right side
   334,377x = 263,404,519,670.25
5. Step 5: Solve for x
   x = 263,404,519,670.25/334,377
6. Step 6: Final answer
   x = 787,747.12