Finding the Third Proportional to 82,384 and 180,810

Step by Step Solution

1. Step 1: Write the proportion equation
   82,384 : 180,810 = 180,810 : x
2. Step 2: Convert to fraction form
   82,384/180,810 = 180,810/x
3. Step 3: Cross multiply
   82,384x = 180,810 × 180,810
4. Step 4: Simplify right side
   82,384x = 32,692,256,100
5. Step 5: Solve for x
   x = 32,692,256,100/82,384
6. Step 6: Final answer
   x = 396,827.73