Finding the Third Proportional to 93,714 and 205,666

Step by Step Solution

1. Step 1: Write the proportion equation
   93,714 : 205,666 = 205,666 : x
2. Step 2: Convert to fraction form
   93,714/205,666 = 205,666/x
3. Step 3: Cross multiply
   93,714x = 205,666 × 205,666
4. Step 4: Simplify right side
   93,714x = 42,298,503,556
5. Step 5: Solve for x
   x = 42,298,503,556/93,714
6. Step 6: Final answer
   x = 451,357.36