Finding the Third Proportional to 196,380 and 422,818

Step by Step Solution

1. Step 1: Write the proportion equation
   196,380 : 422,818 = 422,818 : x
2. Step 2: Convert to fraction form
   196,380/422,818 = 422,818/x
3. Step 3: Cross multiply
   196,380x = 422,818 × 422,818
4. Step 4: Simplify right side
   196,380x = 178,775,061,124
5. Step 5: Solve for x
   x = 178,775,061,124/196,380
6. Step 6: Final answer
   x = 910,352.69