Finding the Third Proportional to 80,072 and 185,345

Step by Step Solution

1. Step 1: Write the proportion equation
   80,072 : 185,345 = 185,345 : x
2. Step 2: Convert to fraction form
   80,072/185,345 = 185,345/x
3. Step 3: Cross multiply
   80,072x = 185,345 × 185,345
4. Step 4: Simplify right side
   80,072x = 34,352,769,025
5. Step 5: Solve for x
   x = 34,352,769,025/80,072
6. Step 6: Final answer
   x = 429,023.49