Finding the Third Proportional to 72,206 and 158,361

Step by Step Solution

1. Step 1: Write the proportion equation
   72,206 : 158,361 = 158,361 : x
2. Step 2: Convert to fraction form
   72,206/158,361 = 158,361/x
3. Step 3: Cross multiply
   72,206x = 158,361 × 158,361
4. Step 4: Simplify right side
   72,206x = 25,078,206,321
5. Step 5: Solve for x
   x = 25,078,206,321/72,206
6. Step 6: Final answer
   x = 347,314.72