Finding the Third Proportional to 116,665 and 254,714

Step by Step Solution

1. Step 1: Write the proportion equation
   116,665 : 254,714 = 254,714 : x
2. Step 2: Convert to fraction form
   116,665/254,714 = 254,714/x
3. Step 3: Cross multiply
   116,665x = 254,714 × 254,714
4. Step 4: Simplify right side
   116,665x = 64,879,221,796
5. Step 5: Solve for x
   x = 64,879,221,796/116,665
6. Step 6: Final answer
   x = 556,115.56