Finding the Third Proportional to 95,718 and 196,212

Step by Step Solution

1. Step 1: Write the proportion equation
   95,718 : 196,212 = 196,212 : x
2. Step 2: Convert to fraction form
   95,718/196,212 = 196,212/x
3. Step 3: Cross multiply
   95,718x = 196,212 × 196,212
4. Step 4: Simplify right side
   95,718x = 38,499,148,944
5. Step 5: Solve for x
   x = 38,499,148,944/95,718
6. Step 6: Final answer
   x = 402,214.31