Finding the Third Proportional to 111,216 and 167,784

Step by Step Solution

1. Step 1: Write the proportion equation
   111,216 : 167,784 = 167,784 : x
2. Step 2: Convert to fraction form
   111,216/167,784 = 167,784/x
3. Step 3: Cross multiply
   111,216x = 167,784 × 167,784
4. Step 4: Simplify right side
   111,216x = 28,151,470,656
5. Step 5: Solve for x
   x = 28,151,470,656/111,216
6. Step 6: Final answer
   x = 253,124.29