Finding the Third Proportional to 80,205 and 174,069

Step by Step Solution

1. Step 1: Write the proportion equation
   80,205 : 174,069 = 174,069 : x
2. Step 2: Convert to fraction form
   80,205/174,069 = 174,069/x
3. Step 3: Cross multiply
   80,205x = 174,069 × 174,069
4. Step 4: Simplify right side
   80,205x = 30,300,016,761
5. Step 5: Solve for x
   x = 30,300,016,761/80,205
6. Step 6: Final answer
   x = 377,782.14