Finding the Third Proportional to 112,296 and 178,956

Step by Step Solution

1. Step 1: Write the proportion equation
   112,296 : 178,956 = 178,956 : x
2. Step 2: Convert to fraction form
   112,296/178,956 = 178,956/x
3. Step 3: Cross multiply
   112,296x = 178,956 × 178,956
4. Step 4: Simplify right side
   112,296x = 32,025,249,936
5. Step 5: Solve for x
   x = 32,025,249,936/112,296
6. Step 6: Final answer
   x = 285,186.03