Finding the Third Proportional to 112,540 and 178,205

Step by Step Solution

1. Step 1: Write the proportion equation
   112,540 : 178,205 = 178,205 : x
2. Step 2: Convert to fraction form
   112,540/178,205 = 178,205/x
3. Step 3: Cross multiply
   112,540x = 178,205 × 178,205
4. Step 4: Simplify right side
   112,540x = 31,757,022,025
5. Step 5: Solve for x
   x = 31,757,022,025/112,540
6. Step 6: Final answer
   x = 282,184.31