Finding the Third Proportional to 111,616 and 167,424

Step by Step Solution

1. Step 1: Write the proportion equation
   111,616 : 167,424 = 167,424 : x
2. Step 2: Convert to fraction form
   111,616/167,424 = 167,424/x
3. Step 3: Cross multiply
   111,616x = 167,424 × 167,424
4. Step 4: Simplify right side
   111,616x = 28,030,795,776
5. Step 5: Solve for x
   x = 28,030,795,776/111,616
6. Step 6: Final answer
   x = 251,136