Finding the Third Proportional to 140,290 and 189,015

Step by Step Solution

1. Step 1: Write the proportion equation
   140,290 : 189,015 = 189,015 : x
2. Step 2: Convert to fraction form
   140,290/189,015 = 189,015/x
3. Step 3: Cross multiply
   140,290x = 189,015 × 189,015
4. Step 4: Simplify right side
   140,290x = 35,726,670,225
5. Step 5: Solve for x
   x = 35,726,670,225/140,290
6. Step 6: Final answer
   x = 254,662.99