Finding the Third Proportional to 83,606 and 169,372

Step by Step Solution

1. Step 1: Write the proportion equation
   83,606 : 169,372 = 169,372 : x
2. Step 2: Convert to fraction form
   83,606/169,372 = 169,372/x
3. Step 3: Cross multiply
   83,606x = 169,372 × 169,372
4. Step 4: Simplify right side
   83,606x = 28,686,874,384
5. Step 5: Solve for x
   x = 28,686,874,384/83,606
6. Step 6: Final answer
   x = 343,119.80