Finding the Third Proportional to 72,842 and 150,741

Step by Step Solution

1. Step 1: Write the proportion equation
   72,842 : 150,741 = 150,741 : x
2. Step 2: Convert to fraction form
   72,842/150,741 = 150,741/x
3. Step 3: Cross multiply
   72,842x = 150,741 × 150,741
4. Step 4: Simplify right side
   72,842x = 22,722,849,081
5. Step 5: Solve for x
   x = 22,722,849,081/72,842
6. Step 6: Final answer
   x = 311,947.08