Finding the Third Proportional to 80,212 and 174,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,212 : 174,084.50 = 174,084.50 : x
2. Step 2: Convert to fraction form
   80,212/174,084.50 = 174,084.50/x
3. Step 3: Cross multiply
   80,212x = 174,084.50 × 174,084.50
4. Step 4: Simplify right side
   80,212x = 30,305,413,140.25
5. Step 5: Solve for x
   x = 30,305,413,140.25/80,212
6. Step 6: Final answer
   x = 377,816.45