Finding the Third Proportional to 71,278 and 112,856

Step by Step Solution

1. Step 1: Write the proportion equation
   71,278 : 112,856 = 112,856 : x
2. Step 2: Convert to fraction form
   71,278/112,856 = 112,856/x
3. Step 3: Cross multiply
   71,278x = 112,856 × 112,856
4. Step 4: Simplify right side
   71,278x = 12,736,476,736
5. Step 5: Solve for x
   x = 12,736,476,736/71,278
6. Step 6: Final answer
   x = 178,687.35