Finding the Third Proportional to 80,206 and 174,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,206 : 174,072.50 = 174,072.50 : x
2. Step 2: Convert to fraction form
   80,206/174,072.50 = 174,072.50/x
3. Step 3: Cross multiply
   80,206x = 174,072.50 × 174,072.50
4. Step 4: Simplify right side
   80,206x = 30,301,235,256.25
5. Step 5: Solve for x
   x = 30,301,235,256.25/80,206
6. Step 6: Final answer
   x = 377,792.62