Finding the Third Proportional to 116,656 and 254,696

Step by Step Solution

1. Step 1: Write the proportion equation
   116,656 : 254,696 = 254,696 : x
2. Step 2: Convert to fraction form
   116,656/254,696 = 254,696/x
3. Step 3: Cross multiply
   116,656x = 254,696 × 254,696
4. Step 4: Simplify right side
   116,656x = 64,870,052,416
5. Step 5: Solve for x
   x = 64,870,052,416/116,656
6. Step 6: Final answer
   x = 556,079.86