Finding the Third Proportional to 261,094 and 390,666

Step by Step Solution

1. Step 1: Write the proportion equation
   261,094 : 390,666 = 390,666 : x
2. Step 2: Convert to fraction form
   261,094/390,666 = 390,666/x
3. Step 3: Cross multiply
   261,094x = 390,666 × 390,666
4. Step 4: Simplify right side
   261,094x = 152,619,923,556
5. Step 5: Solve for x
   x = 152,619,923,556/261,094
6. Step 6: Final answer
   x = 584,540.14