Finding the Third Proportional to 72,361 and 111,821.75

Step by Step Solution

1. Step 1: Write the proportion equation
   72,361 : 111,821.75 = 111,821.75 : x
2. Step 2: Convert to fraction form
   72,361/111,821.75 = 111,821.75/x
3. Step 3: Cross multiply
   72,361x = 111,821.75 × 111,821.75
4. Step 4: Simplify right side
   72,361x = 12,504,103,773.06
5. Step 5: Solve for x
   x = 12,504,103,773.06/72,361
6. Step 6: Final answer
   x = 172,801.70