Finding the Third Proportional to 116,758 and 178,054

Step by Step Solution

1. Step 1: Write the proportion equation
   116,758 : 178,054 = 178,054 : x
2. Step 2: Convert to fraction form
   116,758/178,054 = 178,054/x
3. Step 3: Cross multiply
   116,758x = 178,054 × 178,054
4. Step 4: Simplify right side
   116,758x = 31,703,226,916
5. Step 5: Solve for x
   x = 31,703,226,916/116,758
6. Step 6: Final answer
   x = 271,529.38