Finding the Third Proportional to 59,191 and 127,166

Step by Step Solution

1. Step 1: Write the proportion equation
   59,191 : 127,166 = 127,166 : x
2. Step 2: Convert to fraction form
   59,191/127,166 = 127,166/x
3. Step 3: Cross multiply
   59,191x = 127,166 × 127,166
4. Step 4: Simplify right side
   59,191x = 16,171,191,556
5. Step 5: Solve for x
   x = 16,171,191,556/59,191
6. Step 6: Final answer
   x = 273,203.55