Finding the Third Proportional to 116,888 and 255,648

Step by Step Solution

1. Step 1: Write the proportion equation
   116,888 : 255,648 = 255,648 : x
2. Step 2: Convert to fraction form
   116,888/255,648 = 255,648/x
3. Step 3: Cross multiply
   116,888x = 255,648 × 255,648
4. Step 4: Simplify right side
   116,888x = 65,355,899,904
5. Step 5: Solve for x
   x = 65,355,899,904/116,888
6. Step 6: Final answer
   x = 559,132.67