Finding the Third Proportional to 80,469 and 187,083

Step by Step Solution

1. Step 1: Write the proportion equation
   80,469 : 187,083 = 187,083 : x
2. Step 2: Convert to fraction form
   80,469/187,083 = 187,083/x
3. Step 3: Cross multiply
   80,469x = 187,083 × 187,083
4. Step 4: Simplify right side
   80,469x = 35,000,048,889
5. Step 5: Solve for x
   x = 35,000,048,889/80,469
6. Step 6: Final answer
   x = 434,950.71