Finding the Third Proportional to 72,514 and 111,491

Step by Step Solution

1. Step 1: Write the proportion equation
   72,514 : 111,491 = 111,491 : x
2. Step 2: Convert to fraction form
   72,514/111,491 = 111,491/x
3. Step 3: Cross multiply
   72,514x = 111,491 × 111,491
4. Step 4: Simplify right side
   72,514x = 12,430,243,081
5. Step 5: Solve for x
   x = 12,430,243,081/72,514
6. Step 6: Final answer
   x = 171,418.53