Finding the Third Proportional to 111,098 and 178,904

Step by Step Solution

1. Step 1: Write the proportion equation
   111,098 : 178,904 = 178,904 : x
2. Step 2: Convert to fraction form
   111,098/178,904 = 178,904/x
3. Step 3: Cross multiply
   111,098x = 178,904 × 178,904
4. Step 4: Simplify right side
   111,098x = 32,006,641,216
5. Step 5: Solve for x
   x = 32,006,641,216/111,098
6. Step 6: Final answer
   x = 288,093.77