Finding the Third Proportional to 90,616 and 196,974

Step by Step Solution

1. Step 1: Write the proportion equation
   90,616 : 196,974 = 196,974 : x
2. Step 2: Convert to fraction form
   90,616/196,974 = 196,974/x
3. Step 3: Cross multiply
   90,616x = 196,974 × 196,974
4. Step 4: Simplify right side
   90,616x = 38,798,756,676
5. Step 5: Solve for x
   x = 38,798,756,676/90,616
6. Step 6: Final answer
   x = 428,166.73