Finding the Third Proportional to 257,568 and 566,521.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,568 : 566,521.50 = 566,521.50 : x
2. Step 2: Convert to fraction form
   257,568/566,521.50 = 566,521.50/x
3. Step 3: Cross multiply
   257,568x = 566,521.50 × 566,521.50
4. Step 4: Simplify right side
   257,568x = 320,946,609,962.25
5. Step 5: Solve for x
   x = 320,946,609,962.25/257,568
6. Step 6: Final answer
   x = 1,246,065.54