Finding the Third Proportional to 76,144 and 112,009

Step by Step Solution

1. Step 1: Write the proportion equation
   76,144 : 112,009 = 112,009 : x
2. Step 2: Convert to fraction form
   76,144/112,009 = 112,009/x
3. Step 3: Cross multiply
   76,144x = 112,009 × 112,009
4. Step 4: Simplify right side
   76,144x = 12,546,016,081
5. Step 5: Solve for x
   x = 12,546,016,081/76,144
6. Step 6: Final answer
   x = 164,766.97