Finding the Third Proportional to 89,634 and 196,761

Step by Step Solution

1. Step 1: Write the proportion equation
   89,634 : 196,761 = 196,761 : x
2. Step 2: Convert to fraction form
   89,634/196,761 = 196,761/x
3. Step 3: Cross multiply
   89,634x = 196,761 × 196,761
4. Step 4: Simplify right side
   89,634x = 38,714,891,121
5. Step 5: Solve for x
   x = 38,714,891,121/89,634
6. Step 6: Final answer
   x = 431,921.94