Finding the Third Proportional to 95,408 and 140,194

Step by Step Solution

1. Step 1: Write the proportion equation
   95,408 : 140,194 = 140,194 : x
2. Step 2: Convert to fraction form
   95,408/140,194 = 140,194/x
3. Step 3: Cross multiply
   95,408x = 140,194 × 140,194
4. Step 4: Simplify right side
   95,408x = 19,654,357,636
5. Step 5: Solve for x
   x = 19,654,357,636/95,408
6. Step 6: Final answer
   x = 206,003.25