Finding the Third Proportional to 116,230 and 254,569

Step by Step Solution

1. Step 1: Write the proportion equation
   116,230 : 254,569 = 254,569 : x
2. Step 2: Convert to fraction form
   116,230/254,569 = 254,569/x
3. Step 3: Cross multiply
   116,230x = 254,569 × 254,569
4. Step 4: Simplify right side
   116,230x = 64,805,375,761
5. Step 5: Solve for x
   x = 64,805,375,761/116,230
6. Step 6: Final answer
   x = 557,561.52