Finding the Third Proportional to 71,424 and 155,545.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,424 : 155,545.50 = 155,545.50 : x
2. Step 2: Convert to fraction form
   71,424/155,545.50 = 155,545.50/x
3. Step 3: Cross multiply
   71,424x = 155,545.50 × 155,545.50
4. Step 4: Simplify right side
   71,424x = 24,194,402,570.25
5. Step 5: Solve for x
   x = 24,194,402,570.25/71,424
6. Step 6: Final answer
   x = 338,743.32