Finding the Third Proportional to 111,674 and 155,199

Step by Step Solution

1. Step 1: Write the proportion equation
   111,674 : 155,199 = 155,199 : x
2. Step 2: Convert to fraction form
   111,674/155,199 = 155,199/x
3. Step 3: Cross multiply
   111,674x = 155,199 × 155,199
4. Step 4: Simplify right side
   111,674x = 24,086,729,601
5. Step 5: Solve for x
   x = 24,086,729,601/111,674
6. Step 6: Final answer
   x = 215,687.89