Finding the Third Proportional to 65,827 and 144,155

Step by Step Solution

1. Step 1: Write the proportion equation
   65,827 : 144,155 = 144,155 : x
2. Step 2: Convert to fraction form
   65,827/144,155 = 144,155/x
3. Step 3: Cross multiply
   65,827x = 144,155 × 144,155
4. Step 4: Simplify right side
   65,827x = 20,780,664,025
5. Step 5: Solve for x
   x = 20,780,664,025/65,827
6. Step 6: Final answer
   x = 315,686.03