Finding the Third Proportional to 127,780 and 196,134

Step by Step Solution

1. Step 1: Write the proportion equation
   127,780 : 196,134 = 196,134 : x
2. Step 2: Convert to fraction form
   127,780/196,134 = 196,134/x
3. Step 3: Cross multiply
   127,780x = 196,134 × 196,134
4. Step 4: Simplify right side
   127,780x = 38,468,545,956
5. Step 5: Solve for x
   x = 38,468,545,956/127,780
6. Step 6: Final answer
   x = 301,052.95