Finding the Third Proportional to 236,766 and 362,196

Step by Step Solution

1. Step 1: Write the proportion equation
   236,766 : 362,196 = 362,196 : x
2. Step 2: Convert to fraction form
   236,766/362,196 = 362,196/x
3. Step 3: Cross multiply
   236,766x = 362,196 × 362,196
4. Step 4: Simplify right side
   236,766x = 131,185,942,416
5. Step 5: Solve for x
   x = 131,185,942,416/236,766
6. Step 6: Final answer
   x = 554,074.24