Finding the Third Proportional to 120,312 and 261,404

Step by Step Solution

1. Step 1: Write the proportion equation
   120,312 : 261,404 = 261,404 : x
2. Step 2: Convert to fraction form
   120,312/261,404 = 261,404/x
3. Step 3: Cross multiply
   120,312x = 261,404 × 261,404
4. Step 4: Simplify right side
   120,312x = 68,332,051,216
5. Step 5: Solve for x
   x = 68,332,051,216/120,312
6. Step 6: Final answer
   x = 567,957.07