Finding the Third Proportional to 132,844 and 197,384

Step by Step Solution

1. Step 1: Write the proportion equation
   132,844 : 197,384 = 197,384 : x
2. Step 2: Convert to fraction form
   132,844/197,384 = 197,384/x
3. Step 3: Cross multiply
   132,844x = 197,384 × 197,384
4. Step 4: Simplify right side
   132,844x = 38,960,443,456
5. Step 5: Solve for x
   x = 38,960,443,456/132,844
6. Step 6: Final answer
   x = 293,279.66