Finding the Third Proportional to 116,894 and 253,714

Step by Step Solution

1. Step 1: Write the proportion equation
   116,894 : 253,714 = 253,714 : x
2. Step 2: Convert to fraction form
   116,894/253,714 = 253,714/x
3. Step 3: Cross multiply
   116,894x = 253,714 × 253,714
4. Step 4: Simplify right side
   116,894x = 64,370,793,796
5. Step 5: Solve for x
   x = 64,370,793,796/116,894
6. Step 6: Final answer
   x = 550,676.63