Finding the Third Proportional to 127,740 and 196,074

Step by Step Solution

1. Step 1: Write the proportion equation
   127,740 : 196,074 = 196,074 : x
2. Step 2: Convert to fraction form
   127,740/196,074 = 196,074/x
3. Step 3: Cross multiply
   127,740x = 196,074 × 196,074
4. Step 4: Simplify right side
   127,740x = 38,445,013,476
5. Step 5: Solve for x
   x = 38,445,013,476/127,740
6. Step 6: Final answer
   x = 300,963.00