Finding the Third Proportional to 127,782 and 196,139

Step by Step Solution

1. Step 1: Write the proportion equation
   127,782 : 196,139 = 196,139 : x
2. Step 2: Convert to fraction form
   127,782/196,139 = 196,139/x
3. Step 3: Cross multiply
   127,782x = 196,139 × 196,139
4. Step 4: Simplify right side
   127,782x = 38,470,507,321
5. Step 5: Solve for x
   x = 38,470,507,321/127,782
6. Step 6: Final answer
   x = 301,063.59