Finding the Third Proportional to 88,646 and 196,976

Step by Step Solution

1. Step 1: Write the proportion equation
   88,646 : 196,976 = 196,976 : x
2. Step 2: Convert to fraction form
   88,646/196,976 = 196,976/x
3. Step 3: Cross multiply
   88,646x = 196,976 × 196,976
4. Step 4: Simplify right side
   88,646x = 38,799,544,576
5. Step 5: Solve for x
   x = 38,799,544,576/88,646
6. Step 6: Final answer
   x = 437,690.87