Finding the Third Proportional to 65,648 and 143,178

Step by Step Solution

1. Step 1: Write the proportion equation
   65,648 : 143,178 = 143,178 : x
2. Step 2: Convert to fraction form
   65,648/143,178 = 143,178/x
3. Step 3: Cross multiply
   65,648x = 143,178 × 143,178
4. Step 4: Simplify right side
   65,648x = 20,499,939,684
5. Step 5: Solve for x
   x = 20,499,939,684/65,648
6. Step 6: Final answer
   x = 312,270.59