Finding the Third Proportional to 65,781 and 144,966

Step by Step Solution

1. Step 1: Write the proportion equation
   65,781 : 144,966 = 144,966 : x
2. Step 2: Convert to fraction form
   65,781/144,966 = 144,966/x
3. Step 3: Cross multiply
   65,781x = 144,966 × 144,966
4. Step 4: Simplify right side
   65,781x = 21,015,141,156
5. Step 5: Solve for x
   x = 21,015,141,156/65,781
6. Step 6: Final answer
   x = 319,471.29