Finding the Third Proportional to 132,174 and 204,738

Step by Step Solution

1. Step 1: Write the proportion equation
   132,174 : 204,738 = 204,738 : x
2. Step 2: Convert to fraction form
   132,174/204,738 = 204,738/x
3. Step 3: Cross multiply
   132,174x = 204,738 × 204,738
4. Step 4: Simplify right side
   132,174x = 41,917,648,644
5. Step 5: Solve for x
   x = 41,917,648,644/132,174
6. Step 6: Final answer
   x = 317,139.90