Finding the Third Proportional to 293,876 and 352,196

Step by Step Solution

1. Step 1: Write the proportion equation
   293,876 : 352,196 = 352,196 : x
2. Step 2: Convert to fraction form
   293,876/352,196 = 352,196/x
3. Step 3: Cross multiply
   293,876x = 352,196 × 352,196
4. Step 4: Simplify right side
   293,876x = 124,042,022,416
5. Step 5: Solve for x
   x = 124,042,022,416/293,876
6. Step 6: Final answer
   x = 422,089.67