Finding the Third Proportional to 114,521.50 and 178,326

Step by Step Solution

1. Step 1: Write the proportion equation
   114,521.50 : 178,326 = 178,326 : x
2. Step 2: Convert to fraction form
   114,521.50/178,326 = 178,326/x
3. Step 3: Cross multiply
   114,521.50x = 178,326 × 178,326
4. Step 4: Simplify right side
   114,521.50x = 31,800,162,276
5. Step 5: Solve for x
   x = 31,800,162,276/114,521.50
6. Step 6: Final answer
   x = 277,678.53