Finding the Third Proportional to 80,082 and 185,370

Step by Step Solution

1. Step 1: Write the proportion equation
   80,082 : 185,370 = 185,370 : x
2. Step 2: Convert to fraction form
   80,082/185,370 = 185,370/x
3. Step 3: Cross multiply
   80,082x = 185,370 × 185,370
4. Step 4: Simplify right side
   80,082x = 34,362,036,900
5. Step 5: Solve for x
   x = 34,362,036,900/80,082
6. Step 6: Final answer
   x = 429,085.65