Finding the Third Proportional to 90,190 and 140,196

Step by Step Solution

1. Step 1: Write the proportion equation
   90,190 : 140,196 = 140,196 : x
2. Step 2: Convert to fraction form
   90,190/140,196 = 140,196/x
3. Step 3: Cross multiply
   90,190x = 140,196 × 140,196
4. Step 4: Simplify right side
   90,190x = 19,654,918,416
5. Step 5: Solve for x
   x = 19,654,918,416/90,190
6. Step 6: Final answer
   x = 217,927.91