Finding the Third Proportional to 72,976 and 159,584

Step by Step Solution

1. Step 1: Write the proportion equation
   72,976 : 159,584 = 159,584 : x
2. Step 2: Convert to fraction form
   72,976/159,584 = 159,584/x
3. Step 3: Cross multiply
   72,976x = 159,584 × 159,584
4. Step 4: Simplify right side
   72,976x = 25,467,053,056
5. Step 5: Solve for x
   x = 25,467,053,056/72,976
6. Step 6: Final answer
   x = 348,978.47