Finding the Third Proportional to 53,821 and 116,714

Step by Step Solution

1. Step 1: Write the proportion equation
   53,821 : 116,714 = 116,714 : x
2. Step 2: Convert to fraction form
   53,821/116,714 = 116,714/x
3. Step 3: Cross multiply
   53,821x = 116,714 × 116,714
4. Step 4: Simplify right side
   53,821x = 13,622,157,796
5. Step 5: Solve for x
   x = 13,622,157,796/53,821
6. Step 6: Final answer
   x = 253,101.16