Finding the Third Proportional to 72,584 and 111,036

Step by Step Solution

1. Step 1: Write the proportion equation
   72,584 : 111,036 = 111,036 : x
2. Step 2: Convert to fraction form
   72,584/111,036 = 111,036/x
3. Step 3: Cross multiply
   72,584x = 111,036 × 111,036
4. Step 4: Simplify right side
   72,584x = 12,328,993,296
5. Step 5: Solve for x
   x = 12,328,993,296/72,584
6. Step 6: Final answer
   x = 169,858.28