Finding the Third Proportional to 257,967 and 390,845.25

Step by Step Solution

1. Step 1: Write the proportion equation
   257,967 : 390,845.25 = 390,845.25 : x
2. Step 2: Convert to fraction form
   257,967/390,845.25 = 390,845.25/x
3. Step 3: Cross multiply
   257,967x = 390,845.25 × 390,845.25
4. Step 4: Simplify right side
   257,967x = 152,760,009,447.56
5. Step 5: Solve for x
   x = 152,760,009,447.56/257,967
6. Step 6: Final answer
   x = 592,168.80