Finding the Third Proportional to 65,072 and 141,686

Step by Step Solution

1. Step 1: Write the proportion equation
   65,072 : 141,686 = 141,686 : x
2. Step 2: Convert to fraction form
   65,072/141,686 = 141,686/x
3. Step 3: Cross multiply
   65,072x = 141,686 × 141,686
4. Step 4: Simplify right side
   65,072x = 20,074,922,596
5. Step 5: Solve for x
   x = 20,074,922,596/65,072
6. Step 6: Final answer
   x = 308,503.24