Finding the Third Proportional to 116,228 and 254,566

Step by Step Solution

1. Step 1: Write the proportion equation
   116,228 : 254,566 = 254,566 : x
2. Step 2: Convert to fraction form
   116,228/254,566 = 254,566/x
3. Step 3: Cross multiply
   116,228x = 254,566 × 254,566
4. Step 4: Simplify right side
   116,228x = 64,803,848,356
5. Step 5: Solve for x
   x = 64,803,848,356/116,228
6. Step 6: Final answer
   x = 557,557.98