Finding the Third Proportional to 72,267 and 113,514

Step by Step Solution

1. Step 1: Write the proportion equation
   72,267 : 113,514 = 113,514 : x
2. Step 2: Convert to fraction form
   72,267/113,514 = 113,514/x
3. Step 3: Cross multiply
   72,267x = 113,514 × 113,514
4. Step 4: Simplify right side
   72,267x = 12,885,428,196
5. Step 5: Solve for x
   x = 12,885,428,196/72,267
6. Step 6: Final answer
   x = 178,303.07