Finding the Third Proportional to 80,202 and 174,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,202 : 174,064.50 = 174,064.50 : x
2. Step 2: Convert to fraction form
   80,202/174,064.50 = 174,064.50/x
3. Step 3: Cross multiply
   80,202x = 174,064.50 × 174,064.50
4. Step 4: Simplify right side
   80,202x = 30,298,450,160.25
5. Step 5: Solve for x
   x = 30,298,450,160.25/80,202
6. Step 6: Final answer
   x = 377,776.74