Finding the Third Proportional to 260,046 and 389,016

Step by Step Solution

1. Step 1: Write the proportion equation
   260,046 : 389,016 = 389,016 : x
2. Step 2: Convert to fraction form
   260,046/389,016 = 389,016/x
3. Step 3: Cross multiply
   260,046x = 389,016 × 389,016
4. Step 4: Simplify right side
   260,046x = 151,333,448,256
5. Step 5: Solve for x
   x = 151,333,448,256/260,046
6. Step 6: Final answer
   x = 581,948.76