Finding the Third Proportional to 72,338 and 158,468

Step by Step Solution

1. Step 1: Write the proportion equation
   72,338 : 158,468 = 158,468 : x
2. Step 2: Convert to fraction form
   72,338/158,468 = 158,468/x
3. Step 3: Cross multiply
   72,338x = 158,468 × 158,468
4. Step 4: Simplify right side
   72,338x = 25,112,107,024
5. Step 5: Solve for x
   x = 25,112,107,024/72,338
6. Step 6: Final answer
   x = 347,149.59