Finding the Third Proportional to 116,404 and 255,670

Step by Step Solution

1. Step 1: Write the proportion equation
   116,404 : 255,670 = 255,670 : x
2. Step 2: Convert to fraction form
   116,404/255,670 = 255,670/x
3. Step 3: Cross multiply
   116,404x = 255,670 × 255,670
4. Step 4: Simplify right side
   116,404x = 65,367,148,900
5. Step 5: Solve for x
   x = 65,367,148,900/116,404
6. Step 6: Final answer
   x = 561,554.15