Finding the Third Proportional to 116,568 and 254,209

Step by Step Solution

1. Step 1: Write the proportion equation
   116,568 : 254,209 = 254,209 : x
2. Step 2: Convert to fraction form
   116,568/254,209 = 254,209/x
3. Step 3: Cross multiply
   116,568x = 254,209 × 254,209
4. Step 4: Simplify right side
   116,568x = 64,622,215,681
5. Step 5: Solve for x
   x = 64,622,215,681/116,568
6. Step 6: Final answer
   x = 554,373.55