Finding the Third Proportional to 258,142 and 566,147

Step by Step Solution

1. Step 1: Write the proportion equation
   258,142 : 566,147 = 566,147 : x
2. Step 2: Convert to fraction form
   258,142/566,147 = 566,147/x
3. Step 3: Cross multiply
   258,142x = 566,147 × 566,147
4. Step 4: Simplify right side
   258,142x = 320,522,425,609
5. Step 5: Solve for x
   x = 320,522,425,609/258,142
6. Step 6: Final answer
   x = 1,241,651.59