Finding the Third Proportional to 116,666 and 255,930

Step by Step Solution

1. Step 1: Write the proportion equation
   116,666 : 255,930 = 255,930 : x
2. Step 2: Convert to fraction form
   116,666/255,930 = 255,930/x
3. Step 3: Cross multiply
   116,666x = 255,930 × 255,930
4. Step 4: Simplify right side
   116,666x = 65,500,164,900
5. Step 5: Solve for x
   x = 65,500,164,900/116,666
6. Step 6: Final answer
   x = 561,433.19