Finding the Third Proportional to 72,877 and 159,380

Step by Step Solution

1. Step 1: Write the proportion equation
   72,877 : 159,380 = 159,380 : x
2. Step 2: Convert to fraction form
   72,877/159,380 = 159,380/x
3. Step 3: Cross multiply
   72,877x = 159,380 × 159,380
4. Step 4: Simplify right side
   72,877x = 25,401,984,400
5. Step 5: Solve for x
   x = 25,401,984,400/72,877
6. Step 6: Final answer
   x = 348,559.69