Finding the Third Proportional to 76,072 and 111,291

Step by Step Solution

1. Step 1: Write the proportion equation
   76,072 : 111,291 = 111,291 : x
2. Step 2: Convert to fraction form
   76,072/111,291 = 111,291/x
3. Step 3: Cross multiply
   76,072x = 111,291 × 111,291
4. Step 4: Simplify right side
   76,072x = 12,385,686,681
5. Step 5: Solve for x
   x = 12,385,686,681/76,072
6. Step 6: Final answer
   x = 162,815.32