Finding the Third Proportional to 95,409 and 140,196

Step by Step Solution

1. Step 1: Write the proportion equation
   95,409 : 140,196 = 140,196 : x
2. Step 2: Convert to fraction form
   95,409/140,196 = 140,196/x
3. Step 3: Cross multiply
   95,409x = 140,196 × 140,196
4. Step 4: Simplify right side
   95,409x = 19,654,918,416
5. Step 5: Solve for x
   x = 19,654,918,416/95,409
6. Step 6: Final answer
   x = 206,006.96