Finding the Third Proportional to 65,653 and 143,185

Step by Step Solution

1. Step 1: Write the proportion equation
   65,653 : 143,185 = 143,185 : x
2. Step 2: Convert to fraction form
   65,653/143,185 = 143,185/x
3. Step 3: Cross multiply
   65,653x = 143,185 × 143,185
4. Step 4: Simplify right side
   65,653x = 20,501,944,225
5. Step 5: Solve for x
   x = 20,501,944,225/65,653
6. Step 6: Final answer
   x = 312,277.34