Finding the Third Proportional to 237,292.50 and 511,878

Step by Step Solution

1. Step 1: Write the proportion equation
   237,292.50 : 511,878 = 511,878 : x
2. Step 2: Convert to fraction form
   237,292.50/511,878 = 511,878/x
3. Step 3: Cross multiply
   237,292.50x = 511,878 × 511,878
4. Step 4: Simplify right side
   237,292.50x = 262,019,086,884
5. Step 5: Solve for x
   x = 262,019,086,884/237,292.50
6. Step 6: Final answer
   x = 1,104,202.99