Finding the Third Proportional to 78,365 and 166,714

Step by Step Solution

1. Step 1: Write the proportion equation
   78,365 : 166,714 = 166,714 : x
2. Step 2: Convert to fraction form
   78,365/166,714 = 166,714/x
3. Step 3: Cross multiply
   78,365x = 166,714 × 166,714
4. Step 4: Simplify right side
   78,365x = 27,793,557,796
5. Step 5: Solve for x
   x = 27,793,557,796/78,365
6. Step 6: Final answer
   x = 354,668.00