Finding the Third Proportional to 80,804 and 174,514

Step by Step Solution

1. Step 1: Write the proportion equation
   80,804 : 174,514 = 174,514 : x
2. Step 2: Convert to fraction form
   80,804/174,514 = 174,514/x
3. Step 3: Cross multiply
   80,804x = 174,514 × 174,514
4. Step 4: Simplify right side
   80,804x = 30,455,136,196
5. Step 5: Solve for x
   x = 30,455,136,196/80,804
6. Step 6: Final answer
   x = 376,901.34