Finding the Third Proportional to 80,384 and 186,240

Step by Step Solution

1. Step 1: Write the proportion equation
   80,384 : 186,240 = 186,240 : x
2. Step 2: Convert to fraction form
   80,384/186,240 = 186,240/x
3. Step 3: Cross multiply
   80,384x = 186,240 × 186,240
4. Step 4: Simplify right side
   80,384x = 34,685,337,600
5. Step 5: Solve for x
   x = 34,685,337,600/80,384
6. Step 6: Final answer
   x = 431,495.54