Finding the Third Proportional to 132,868 and 194,196

Step by Step Solution

1. Step 1: Write the proportion equation
   132,868 : 194,196 = 194,196 : x
2. Step 2: Convert to fraction form
   132,868/194,196 = 194,196/x
3. Step 3: Cross multiply
   132,868x = 194,196 × 194,196
4. Step 4: Simplify right side
   132,868x = 37,712,086,416
5. Step 5: Solve for x
   x = 37,712,086,416/132,868
6. Step 6: Final answer
   x = 283,831.22