Finding the Third Proportional to 105,514 and 151,145

Step by Step Solution

1. Step 1: Write the proportion equation
   105,514 : 151,145 = 151,145 : x
2. Step 2: Convert to fraction form
   105,514/151,145 = 151,145/x
3. Step 3: Cross multiply
   105,514x = 151,145 × 151,145
4. Step 4: Simplify right side
   105,514x = 22,844,811,025
5. Step 5: Solve for x
   x = 22,844,811,025/105,514
6. Step 6: Final answer
   x = 216,509.76