Finding the Third Proportional to 83,496 and 169,905

Step by Step Solution

1. Step 1: Write the proportion equation
   83,496 : 169,905 = 169,905 : x
2. Step 2: Convert to fraction form
   83,496/169,905 = 169,905/x
3. Step 3: Cross multiply
   83,496x = 169,905 × 169,905
4. Step 4: Simplify right side
   83,496x = 28,867,709,025
5. Step 5: Solve for x
   x = 28,867,709,025/83,496
6. Step 6: Final answer
   x = 345,737.63