Finding the Third Proportional to 159,096 and 343,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   159,096 : 343,099.50 = 343,099.50 : x
2. Step 2: Convert to fraction form
   159,096/343,099.50 = 343,099.50/x
3. Step 3: Cross multiply
   159,096x = 343,099.50 × 343,099.50
4. Step 4: Simplify right side
   159,096x = 117,717,266,900.25
5. Step 5: Solve for x
   x = 117,717,266,900.25/159,096
6. Step 6: Final answer
   x = 739,913.43