Finding the Third Proportional to 71,096 and 155,584

Step by Step Solution

1. Step 1: Write the proportion equation
   71,096 : 155,584 = 155,584 : x
2. Step 2: Convert to fraction form
   71,096/155,584 = 155,584/x
3. Step 3: Cross multiply
   71,096x = 155,584 × 155,584
4. Step 4: Simplify right side
   71,096x = 24,206,381,056
5. Step 5: Solve for x
   x = 24,206,381,056/71,096
6. Step 6: Final answer
   x = 340,474.58