Finding the Third Proportional to 74,009 and 112,856

Step by Step Solution

1. Step 1: Write the proportion equation
   74,009 : 112,856 = 112,856 : x
2. Step 2: Convert to fraction form
   74,009/112,856 = 112,856/x
3. Step 3: Cross multiply
   74,009x = 112,856 × 112,856
4. Step 4: Simplify right side
   74,009x = 12,736,476,736
5. Step 5: Solve for x
   x = 12,736,476,736/74,009
6. Step 6: Final answer
   x = 172,093.62