Finding the Third Proportional to 116,642 and 254,344

Step by Step Solution

1. Step 1: Write the proportion equation
   116,642 : 254,344 = 254,344 : x
2. Step 2: Convert to fraction form
   116,642/254,344 = 254,344/x
3. Step 3: Cross multiply
   116,642x = 254,344 × 254,344
4. Step 4: Simplify right side
   116,642x = 64,690,870,336
5. Step 5: Solve for x
   x = 64,690,870,336/116,642
6. Step 6: Final answer
   x = 554,610.43