Finding the Third Proportional to 111,196 and 167,758

Step by Step Solution

1. Step 1: Write the proportion equation
   111,196 : 167,758 = 167,758 : x
2. Step 2: Convert to fraction form
   111,196/167,758 = 167,758/x
3. Step 3: Cross multiply
   111,196x = 167,758 × 167,758
4. Step 4: Simplify right side
   111,196x = 28,142,746,564
5. Step 5: Solve for x
   x = 28,142,746,564/111,196
6. Step 6: Final answer
   x = 253,091.36