Finding the Third Proportional to 116,496 and 254,801

Step by Step Solution

1. Step 1: Write the proportion equation
   116,496 : 254,801 = 254,801 : x
2. Step 2: Convert to fraction form
   116,496/254,801 = 254,801/x
3. Step 3: Cross multiply
   116,496x = 254,801 × 254,801
4. Step 4: Simplify right side
   116,496x = 64,923,549,601
5. Step 5: Solve for x
   x = 64,923,549,601/116,496
6. Step 6: Final answer
   x = 557,302.82