Finding the Third Proportional to 114,168 and 178,164

Step by Step Solution

1. Step 1: Write the proportion equation
   114,168 : 178,164 = 178,164 : x
2. Step 2: Convert to fraction form
   114,168/178,164 = 178,164/x
3. Step 3: Cross multiply
   114,168x = 178,164 × 178,164
4. Step 4: Simplify right side
   114,168x = 31,742,410,896
5. Step 5: Solve for x
   x = 31,742,410,896/114,168
6. Step 6: Final answer
   x = 278,032.47