Finding the Third Proportional to 65,786 and 142,095

Step by Step Solution

1. Step 1: Write the proportion equation
   65,786 : 142,095 = 142,095 : x
2. Step 2: Convert to fraction form
   65,786/142,095 = 142,095/x
3. Step 3: Cross multiply
   65,786x = 142,095 × 142,095
4. Step 4: Simplify right side
   65,786x = 20,190,989,025
5. Step 5: Solve for x
   x = 20,190,989,025/65,786
6. Step 6: Final answer
   x = 306,919.24