Finding the Third Proportional to 116,870 and 255,854

Step by Step Solution

1. Step 1: Write the proportion equation
   116,870 : 255,854 = 255,854 : x
2. Step 2: Convert to fraction form
   116,870/255,854 = 255,854/x
3. Step 3: Cross multiply
   116,870x = 255,854 × 255,854
4. Step 4: Simplify right side
   116,870x = 65,461,269,316
5. Step 5: Solve for x
   x = 65,461,269,316/116,870
6. Step 6: Final answer
   x = 560,120.38