Finding the Third Proportional to 138,399.75 and 176,844

Step by Step Solution

1. Step 1: Write the proportion equation
   138,399.75 : 176,844 = 176,844 : x
2. Step 2: Convert to fraction form
   138,399.75/176,844 = 176,844/x
3. Step 3: Cross multiply
   138,399.75x = 176,844 × 176,844
4. Step 4: Simplify right side
   138,399.75x = 31,273,800,336
5. Step 5: Solve for x
   x = 31,273,800,336/138,399.75
6. Step 6: Final answer
   x = 225,967.17