Finding the Third Proportional to 83,500 and 169,916

Step by Step Solution

1. Step 1: Write the proportion equation
   83,500 : 169,916 = 169,916 : x
2. Step 2: Convert to fraction form
   83,500/169,916 = 169,916/x
3. Step 3: Cross multiply
   83,500x = 169,916 × 169,916
4. Step 4: Simplify right side
   83,500x = 28,871,447,056
5. Step 5: Solve for x
   x = 28,871,447,056/83,500
6. Step 6: Final answer
   x = 345,765.83