Finding the Third Proportional to 312,198 and 415,048.50

Step by Step Solution

1. Step 1: Write the proportion equation
   312,198 : 415,048.50 = 415,048.50 : x
2. Step 2: Convert to fraction form
   312,198/415,048.50 = 415,048.50/x
3. Step 3: Cross multiply
   312,198x = 415,048.50 × 415,048.50
4. Step 4: Simplify right side
   312,198x = 172,265,257,352.25
5. Step 5: Solve for x
   x = 172,265,257,352.25/312,198
6. Step 6: Final answer
   x = 551,782.07