Finding the Third Proportional to 65,783 and 144,970

Step by Step Solution

1. Step 1: Write the proportion equation
   65,783 : 144,970 = 144,970 : x
2. Step 2: Convert to fraction form
   65,783/144,970 = 144,970/x
3. Step 3: Cross multiply
   65,783x = 144,970 × 144,970
4. Step 4: Simplify right side
   65,783x = 21,016,300,900
5. Step 5: Solve for x
   x = 21,016,300,900/65,783
6. Step 6: Final answer
   x = 319,479.21