Finding the Third Proportional to 127,738 and 196,072

Step by Step Solution

1. Step 1: Write the proportion equation
   127,738 : 196,072 = 196,072 : x
2. Step 2: Convert to fraction form
   127,738/196,072 = 196,072/x
3. Step 3: Cross multiply
   127,738x = 196,072 × 196,072
4. Step 4: Simplify right side
   127,738x = 38,444,229,184
5. Step 5: Solve for x
   x = 38,444,229,184/127,738
6. Step 6: Final answer
   x = 300,961.57