Finding the Third Proportional to 257,413 and 389,444.75

Step by Step Solution

1. Step 1: Write the proportion equation
   257,413 : 389,444.75 = 389,444.75 : x
2. Step 2: Convert to fraction form
   257,413/389,444.75 = 389,444.75/x
3. Step 3: Cross multiply
   257,413x = 389,444.75 × 389,444.75
4. Step 4: Simplify right side
   257,413x = 151,667,213,302.56
5. Step 5: Solve for x
   x = 151,667,213,302.56/257,413
6. Step 6: Final answer
   x = 589,197.96