Finding the Third Proportional to 186,162 and 402,196

Step by Step Solution

1. Step 1: Write the proportion equation
   186,162 : 402,196 = 402,196 : x
2. Step 2: Convert to fraction form
   186,162/402,196 = 402,196/x
3. Step 3: Cross multiply
   186,162x = 402,196 × 402,196
4. Step 4: Simplify right side
   186,162x = 161,761,622,416
5. Step 5: Solve for x
   x = 161,761,622,416/186,162
6. Step 6: Final answer
   x = 868,929.33