Finding the Third Proportional to 116,226 and 254,628

Step by Step Solution

1. Step 1: Write the proportion equation
   116,226 : 254,628 = 254,628 : x
2. Step 2: Convert to fraction form
   116,226/254,628 = 254,628/x
3. Step 3: Cross multiply
   116,226x = 254,628 × 254,628
4. Step 4: Simplify right side
   116,226x = 64,835,418,384
5. Step 5: Solve for x
   x = 64,835,418,384/116,226
6. Step 6: Final answer
   x = 557,839.20