Finding the Third Proportional to 257,722 and 378,859.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,722 : 378,859.50 = 378,859.50 : x
2. Step 2: Convert to fraction form
   257,722/378,859.50 = 378,859.50/x
3. Step 3: Cross multiply
   257,722x = 378,859.50 × 378,859.50
4. Step 4: Simplify right side
   257,722x = 143,534,520,740.25
5. Step 5: Solve for x
   x = 143,534,520,740.25/257,722
6. Step 6: Final answer
   x = 556,935.46