Finding the Third Proportional to 96,900 and 196,412

Step by Step Solution

1. Step 1: Write the proportion equation
   96,900 : 196,412 = 196,412 : x
2. Step 2: Convert to fraction form
   96,900/196,412 = 196,412/x
3. Step 3: Cross multiply
   96,900x = 196,412 × 196,412
4. Step 4: Simplify right side
   96,900x = 38,577,673,744
5. Step 5: Solve for x
   x = 38,577,673,744/96,900
6. Step 6: Final answer
   x = 398,118.41