Finding the Third Proportional to 120,271.50 and 261,036

Step by Step Solution

1. Step 1: Write the proportion equation
   120,271.50 : 261,036 = 261,036 : x
2. Step 2: Convert to fraction form
   120,271.50/261,036 = 261,036/x
3. Step 3: Cross multiply
   120,271.50x = 261,036 × 261,036
4. Step 4: Simplify right side
   120,271.50x = 68,139,793,296
5. Step 5: Solve for x
   x = 68,139,793,296/120,271.50
6. Step 6: Final answer
   x = 566,549.79