Finding the Third Proportional to 111,832 and 164,184

Step by Step Solution

1. Step 1: Write the proportion equation
   111,832 : 164,184 = 164,184 : x
2. Step 2: Convert to fraction form
   111,832/164,184 = 164,184/x
3. Step 3: Cross multiply
   111,832x = 164,184 × 164,184
4. Step 4: Simplify right side
   111,832x = 26,956,385,856
5. Step 5: Solve for x
   x = 26,956,385,856/111,832
6. Step 6: Final answer
   x = 241,043.58