Finding the Third Proportional to 83,384 and 196,714

Step by Step Solution

1. Step 1: Write the proportion equation
   83,384 : 196,714 = 196,714 : x
2. Step 2: Convert to fraction form
   83,384/196,714 = 196,714/x
3. Step 3: Cross multiply
   83,384x = 196,714 × 196,714
4. Step 4: Simplify right side
   83,384x = 38,696,397,796
5. Step 5: Solve for x
   x = 38,696,397,796/83,384
6. Step 6: Final answer
   x = 464,074.62