Finding the Third Proportional to 80,548 and 189,514

Step by Step Solution

1. Step 1: Write the proportion equation
   80,548 : 189,514 = 189,514 : x
2. Step 2: Convert to fraction form
   80,548/189,514 = 189,514/x
3. Step 3: Cross multiply
   80,548x = 189,514 × 189,514
4. Step 4: Simplify right side
   80,548x = 35,915,556,196
5. Step 5: Solve for x
   x = 35,915,556,196/80,548
6. Step 6: Final answer
   x = 445,890.11