Finding the Third Proportional to 65,833 and 144,168

Step by Step Solution

1. Step 1: Write the proportion equation
   65,833 : 144,168 = 144,168 : x
2. Step 2: Convert to fraction form
   65,833/144,168 = 144,168/x
3. Step 3: Cross multiply
   65,833x = 144,168 × 144,168
4. Step 4: Simplify right side
   65,833x = 20,784,412,224
5. Step 5: Solve for x
   x = 20,784,412,224/65,833
6. Step 6: Final answer
   x = 315,714.19