Finding the Third Proportional to 111,948 and 155,161

Step by Step Solution

1. Step 1: Write the proportion equation
   111,948 : 155,161 = 155,161 : x
2. Step 2: Convert to fraction form
   111,948/155,161 = 155,161/x
3. Step 3: Cross multiply
   111,948x = 155,161 × 155,161
4. Step 4: Simplify right side
   111,948x = 24,074,935,921
5. Step 5: Solve for x
   x = 24,074,935,921/111,948
6. Step 6: Final answer
   x = 215,054.63