Finding the Third Proportional to 69,636 and 142,960

Step by Step Solution

1. Step 1: Write the proportion equation
   69,636 : 142,960 = 142,960 : x
2. Step 2: Convert to fraction form
   69,636/142,960 = 142,960/x
3. Step 3: Cross multiply
   69,636x = 142,960 × 142,960
4. Step 4: Simplify right side
   69,636x = 20,437,561,600
5. Step 5: Solve for x
   x = 20,437,561,600/69,636
6. Step 6: Final answer
   x = 293,491.32