Finding the Third Proportional to 65,146 and 142,761

Step by Step Solution

1. Step 1: Write the proportion equation
   65,146 : 142,761 = 142,761 : x
2. Step 2: Convert to fraction form
   65,146/142,761 = 142,761/x
3. Step 3: Cross multiply
   65,146x = 142,761 × 142,761
4. Step 4: Simplify right side
   65,146x = 20,380,703,121
5. Step 5: Solve for x
   x = 20,380,703,121/65,146
6. Step 6: Final answer
   x = 312,846.58