Finding the Third Proportional to 71,097 and 155,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,097 : 155,557.50 = 155,557.50 : x
2. Step 2: Convert to fraction form
   71,097/155,557.50 = 155,557.50/x
3. Step 3: Cross multiply
   71,097x = 155,557.50 × 155,557.50
4. Step 4: Simplify right side
   71,097x = 24,198,135,806.25
5. Step 5: Solve for x
   x = 24,198,135,806.25/71,097
6. Step 6: Final answer
   x = 340,353.82