Finding the Third Proportional to 196,872 and 462,196

Step by Step Solution

1. Step 1: Write the proportion equation
   196,872 : 462,196 = 462,196 : x
2. Step 2: Convert to fraction form
   196,872/462,196 = 462,196/x
3. Step 3: Cross multiply
   196,872x = 462,196 × 462,196
4. Step 4: Simplify right side
   196,872x = 213,625,142,416
5. Step 5: Solve for x
   x = 213,625,142,416/196,872
6. Step 6: Final answer
   x = 1,085,096.62