Finding the Third Proportional to 65,166 and 141,024

Step by Step Solution

1. Step 1: Write the proportion equation
   65,166 : 141,024 = 141,024 : x
2. Step 2: Convert to fraction form
   65,166/141,024 = 141,024/x
3. Step 3: Cross multiply
   65,166x = 141,024 × 141,024
4. Step 4: Simplify right side
   65,166x = 19,887,768,576
5. Step 5: Solve for x
   x = 19,887,768,576/65,166
6. Step 6: Final answer
   x = 305,186.27