Finding the Third Proportional to 116,666 and 255,932

Step by Step Solution

1. Step 1: Write the proportion equation
   116,666 : 255,932 = 255,932 : x
2. Step 2: Convert to fraction form
   116,666/255,932 = 255,932/x
3. Step 3: Cross multiply
   116,666x = 255,932 × 255,932
4. Step 4: Simplify right side
   116,666x = 65,501,188,624
5. Step 5: Solve for x
   x = 65,501,188,624/116,666
6. Step 6: Final answer
   x = 561,441.97