Finding the Third Proportional to 40,982 and 83,468

Step by Step Solution

1. Step 1: Write the proportion equation
   40,982 : 83,468 = 83,468 : x
2. Step 2: Convert to fraction form
   40,982/83,468 = 83,468/x
3. Step 3: Cross multiply
   40,982x = 83,468 × 83,468
4. Step 4: Simplify right side
   40,982x = 6,966,907,024
5. Step 5: Solve for x
   x = 6,966,907,024/40,982
6. Step 6: Final answer
   x = 169,999.20