Finding the Third Proportional to 72,314 and 155,741

Step by Step Solution

1. Step 1: Write the proportion equation
   72,314 : 155,741 = 155,741 : x
2. Step 2: Convert to fraction form
   72,314/155,741 = 155,741/x
3. Step 3: Cross multiply
   72,314x = 155,741 × 155,741
4. Step 4: Simplify right side
   72,314x = 24,255,259,081
5. Step 5: Solve for x
   x = 24,255,259,081/72,314
6. Step 6: Final answer
   x = 335,415.81