Finding the Third Proportional to 78,278 and 111,904

Step by Step Solution

1. Step 1: Write the proportion equation
   78,278 : 111,904 = 111,904 : x
2. Step 2: Convert to fraction form
   78,278/111,904 = 111,904/x
3. Step 3: Cross multiply
   78,278x = 111,904 × 111,904
4. Step 4: Simplify right side
   78,278x = 12,522,505,216
5. Step 5: Solve for x
   x = 12,522,505,216/78,278
6. Step 6: Final answer
   x = 159,974.77