Finding the Third Proportional to 258,471 and 386,157.38

Step by Step Solution

1. Step 1: Write the proportion equation
   258,471 : 386,157.38 = 386,157.38 : x
2. Step 2: Convert to fraction form
   258,471/386,157.38 = 386,157.38/x
3. Step 3: Cross multiply
   258,471x = 386,157.38 × 386,157.38
4. Step 4: Simplify right side
   258,471x = 149,117,518,266.89
5. Step 5: Solve for x
   x = 149,117,518,266.89/258,471
6. Step 6: Final answer
   x = 576,921.66