Finding the Third Proportional to 168,196 and 362,504

Step by Step Solution

1. Step 1: Write the proportion equation
   168,196 : 362,504 = 362,504 : x
2. Step 2: Convert to fraction form
   168,196/362,504 = 362,504/x
3. Step 3: Cross multiply
   168,196x = 362,504 × 362,504
4. Step 4: Simplify right side
   168,196x = 131,409,150,016
5. Step 5: Solve for x
   x = 131,409,150,016/168,196
6. Step 6: Final answer
   x = 781,285.82