Finding the Third Proportional to 90,562 and 196,676

Step by Step Solution

1. Step 1: Write the proportion equation
   90,562 : 196,676 = 196,676 : x
2. Step 2: Convert to fraction form
   90,562/196,676 = 196,676/x
3. Step 3: Cross multiply
   90,562x = 196,676 × 196,676
4. Step 4: Simplify right side
   90,562x = 38,681,448,976
5. Step 5: Solve for x
   x = 38,681,448,976/90,562
6. Step 6: Final answer
   x = 427,126.71