Finding the Third Proportional to 111,814 and 164,156

Step by Step Solution

1. Step 1: Write the proportion equation
   111,814 : 164,156 = 164,156 : x
2. Step 2: Convert to fraction form
   111,814/164,156 = 164,156/x
3. Step 3: Cross multiply
   111,814x = 164,156 × 164,156
4. Step 4: Simplify right side
   111,814x = 26,947,192,336
5. Step 5: Solve for x
   x = 26,947,192,336/111,814
6. Step 6: Final answer
   x = 241,000.16