Finding the Third Proportional to 83,468 and 196,838

Step by Step Solution

1. Step 1: Write the proportion equation
   83,468 : 196,838 = 196,838 : x
2. Step 2: Convert to fraction form
   83,468/196,838 = 196,838/x
3. Step 3: Cross multiply
   83,468x = 196,838 × 196,838
4. Step 4: Simplify right side
   83,468x = 38,745,198,244
5. Step 5: Solve for x
   x = 38,745,198,244/83,468
6. Step 6: Final answer
   x = 464,192.24