Finding the Third Proportional to 72,790 and 159,158

Step by Step Solution

1. Step 1: Write the proportion equation
   72,790 : 159,158 = 159,158 : x
2. Step 2: Convert to fraction form
   72,790/159,158 = 159,158/x
3. Step 3: Cross multiply
   72,790x = 159,158 × 159,158
4. Step 4: Simplify right side
   72,790x = 25,331,268,964
5. Step 5: Solve for x
   x = 25,331,268,964/72,790
6. Step 6: Final answer
   x = 348,004.79