Finding the Third Proportional to 72,206 and 158,360

Step by Step Solution

1. Step 1: Write the proportion equation
   72,206 : 158,360 = 158,360 : x
2. Step 2: Convert to fraction form
   72,206/158,360 = 158,360/x
3. Step 3: Cross multiply
   72,206x = 158,360 × 158,360
4. Step 4: Simplify right side
   72,206x = 25,077,889,600
5. Step 5: Solve for x
   x = 25,077,889,600/72,206
6. Step 6: Final answer
   x = 347,310.33