Finding the Third Proportional to 258,474 and 386,161.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,474 : 386,161.50 = 386,161.50 : x
2. Step 2: Convert to fraction form
   258,474/386,161.50 = 386,161.50/x
3. Step 3: Cross multiply
   258,474x = 386,161.50 × 386,161.50
4. Step 4: Simplify right side
   258,474x = 149,120,704,082.25
5. Step 5: Solve for x
   x = 149,120,704,082.25/258,474
6. Step 6: Final answer
   x = 576,927.29