Finding the Third Proportional to 92,826 and 196,236

Step by Step Solution

1. Step 1: Write the proportion equation
   92,826 : 196,236 = 196,236 : x
2. Step 2: Convert to fraction form
   92,826/196,236 = 196,236/x
3. Step 3: Cross multiply
   92,826x = 196,236 × 196,236
4. Step 4: Simplify right side
   92,826x = 38,508,567,696
5. Step 5: Solve for x
   x = 38,508,567,696/92,826
6. Step 6: Final answer
   x = 414,846.79