Finding the Third Proportional to 65,872 and 144,236

Step by Step Solution

1. Step 1: Write the proportion equation
   65,872 : 144,236 = 144,236 : x
2. Step 2: Convert to fraction form
   65,872/144,236 = 144,236/x
3. Step 3: Cross multiply
   65,872x = 144,236 × 144,236
4. Step 4: Simplify right side
   65,872x = 20,804,023,696
5. Step 5: Solve for x
   x = 20,804,023,696/65,872
6. Step 6: Final answer
   x = 315,824.99