Finding the Third Proportional to 72,890 and 158,416

Step by Step Solution

1. Step 1: Write the proportion equation
   72,890 : 158,416 = 158,416 : x
2. Step 2: Convert to fraction form
   72,890/158,416 = 158,416/x
3. Step 3: Cross multiply
   72,890x = 158,416 × 158,416
4. Step 4: Simplify right side
   72,890x = 25,095,629,056
5. Step 5: Solve for x
   x = 25,095,629,056/72,890
6. Step 6: Final answer
   x = 344,294.54