Finding the Third Proportional to 174,559 and 380,221

Step by Step Solution

1. Step 1: Write the proportion equation
   174,559 : 380,221 = 380,221 : x
2. Step 2: Convert to fraction form
   174,559/380,221 = 380,221/x
3. Step 3: Cross multiply
   174,559x = 380,221 × 380,221
4. Step 4: Simplify right side
   174,559x = 144,568,008,841
5. Step 5: Solve for x
   x = 144,568,008,841/174,559
6. Step 6: Final answer
   x = 828,189.95