Finding the Third Proportional to 140,960 and 193,288

Step by Step Solution

1. Step 1: Write the proportion equation
   140,960 : 193,288 = 193,288 : x
2. Step 2: Convert to fraction form
   140,960/193,288 = 193,288/x
3. Step 3: Cross multiply
   140,960x = 193,288 × 193,288
4. Step 4: Simplify right side
   140,960x = 37,360,250,944
5. Step 5: Solve for x
   x = 37,360,250,944/140,960
6. Step 6: Final answer
   x = 265,041.51