Finding the Third Proportional to 72,642 and 159,954

Step by Step Solution

1. Step 1: Write the proportion equation
   72,642 : 159,954 = 159,954 : x
2. Step 2: Convert to fraction form
   72,642/159,954 = 159,954/x
3. Step 3: Cross multiply
   72,642x = 159,954 × 159,954
4. Step 4: Simplify right side
   72,642x = 25,585,282,116
5. Step 5: Solve for x
   x = 25,585,282,116/72,642
6. Step 6: Final answer
   x = 352,210.60