Finding the Third Proportional to 80,116 and 185,462

Step by Step Solution

1. Step 1: Write the proportion equation
   80,116 : 185,462 = 185,462 : x
2. Step 2: Convert to fraction form
   80,116/185,462 = 185,462/x
3. Step 3: Cross multiply
   80,116x = 185,462 × 185,462
4. Step 4: Simplify right side
   80,116x = 34,396,153,444
5. Step 5: Solve for x
   x = 34,396,153,444/80,116
6. Step 6: Final answer
   x = 429,329.39