Finding the Third Proportional to 65,329 and 143,253

Step by Step Solution

1. Step 1: Write the proportion equation
   65,329 : 143,253 = 143,253 : x
2. Step 2: Convert to fraction form
   65,329/143,253 = 143,253/x
3. Step 3: Cross multiply
   65,329x = 143,253 × 143,253
4. Step 4: Simplify right side
   65,329x = 20,521,422,009
5. Step 5: Solve for x
   x = 20,521,422,009/65,329
6. Step 6: Final answer
   x = 314,124.23