Finding the Third Proportional to 90,188 and 140,193

Step by Step Solution

1. Step 1: Write the proportion equation
   90,188 : 140,193 = 140,193 : x
2. Step 2: Convert to fraction form
   90,188/140,193 = 140,193/x
3. Step 3: Cross multiply
   90,188x = 140,193 × 140,193
4. Step 4: Simplify right side
   90,188x = 19,654,077,249
5. Step 5: Solve for x
   x = 19,654,077,249/90,188
6. Step 6: Final answer
   x = 217,923.42