Finding the Third Proportional to 83,480 and 196,863

Step by Step Solution

1. Step 1: Write the proportion equation
   83,480 : 196,863 = 196,863 : x
2. Step 2: Convert to fraction form
   83,480/196,863 = 196,863/x
3. Step 3: Cross multiply
   83,480x = 196,863 × 196,863
4. Step 4: Simplify right side
   83,480x = 38,755,040,769
5. Step 5: Solve for x
   x = 38,755,040,769/83,480
6. Step 6: Final answer
   x = 464,243.42