Finding the Third Proportional to 257,049 and 384,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,049 : 384,061.50 = 384,061.50 : x
2. Step 2: Convert to fraction form
   257,049/384,061.50 = 384,061.50/x
3. Step 3: Cross multiply
   257,049x = 384,061.50 × 384,061.50
4. Step 4: Simplify right side
   257,049x = 147,503,235,782.25
5. Step 5: Solve for x
   x = 147,503,235,782.25/257,049
6. Step 6: Final answer
   x = 573,833.14