Finding the Third Proportional to 116,816 and 255,746

Step by Step Solution

1. Step 1: Write the proportion equation
   116,816 : 255,746 = 255,746 : x
2. Step 2: Convert to fraction form
   116,816/255,746 = 255,746/x
3. Step 3: Cross multiply
   116,816x = 255,746 × 255,746
4. Step 4: Simplify right side
   116,816x = 65,406,016,516
5. Step 5: Solve for x
   x = 65,406,016,516/116,816
6. Step 6: Final answer
   x = 559,906.32