Finding the Third Proportional to 65,223 and 141,786

Step by Step Solution

1. Step 1: Write the proportion equation
   65,223 : 141,786 = 141,786 : x
2. Step 2: Convert to fraction form
   65,223/141,786 = 141,786/x
3. Step 3: Cross multiply
   65,223x = 141,786 × 141,786
4. Step 4: Simplify right side
   65,223x = 20,103,269,796
5. Step 5: Solve for x
   x = 20,103,269,796/65,223
6. Step 6: Final answer
   x = 308,223.63