Finding the Third Proportional to 65,643 and 144,051

Step by Step Solution

1. Step 1: Write the proportion equation
   65,643 : 144,051 = 144,051 : x
2. Step 2: Convert to fraction form
   65,643/144,051 = 144,051/x
3. Step 3: Cross multiply
   65,643x = 144,051 × 144,051
4. Step 4: Simplify right side
   65,643x = 20,750,690,601
5. Step 5: Solve for x
   x = 20,750,690,601/65,643
6. Step 6: Final answer
   x = 316,114.29