Finding the Third Proportional to 72,360 and 111,821

Step by Step Solution

1. Step 1: Write the proportion equation
   72,360 : 111,821 = 111,821 : x
2. Step 2: Convert to fraction form
   72,360/111,821 = 111,821/x
3. Step 3: Cross multiply
   72,360x = 111,821 × 111,821
4. Step 4: Simplify right side
   72,360x = 12,503,936,041
5. Step 5: Solve for x
   x = 12,503,936,041/72,360
6. Step 6: Final answer
   x = 172,801.77