Finding the Third Proportional to 192,966 and 298,196

Step by Step Solution

1. Step 1: Write the proportion equation
   192,966 : 298,196 = 298,196 : x
2. Step 2: Convert to fraction form
   192,966/298,196 = 298,196/x
3. Step 3: Cross multiply
   192,966x = 298,196 × 298,196
4. Step 4: Simplify right side
   192,966x = 88,920,854,416
5. Step 5: Solve for x
   x = 88,920,854,416/192,966
6. Step 6: Final answer
   x = 460,810.99