Finding the Third Proportional to 80,114 and 185,459

Step by Step Solution

1. Step 1: Write the proportion equation
   80,114 : 185,459 = 185,459 : x
2. Step 2: Convert to fraction form
   80,114/185,459 = 185,459/x
3. Step 3: Cross multiply
   80,114x = 185,459 × 185,459
4. Step 4: Simplify right side
   80,114x = 34,395,040,681
5. Step 5: Solve for x
   x = 34,395,040,681/80,114
6. Step 6: Final answer
   x = 429,326.22