Finding the Third Proportional to 86,884 and 188,714

Step by Step Solution

1. Step 1: Write the proportion equation
   86,884 : 188,714 = 188,714 : x
2. Step 2: Convert to fraction form
   86,884/188,714 = 188,714/x
3. Step 3: Cross multiply
   86,884x = 188,714 × 188,714
4. Step 4: Simplify right side
   86,884x = 35,612,973,796
5. Step 5: Solve for x
   x = 35,612,973,796/86,884
6. Step 6: Final answer
   x = 409,891.05