Finding the Third Proportional to 83,814 and 170,058

Step by Step Solution

1. Step 1: Write the proportion equation
   83,814 : 170,058 = 170,058 : x
2. Step 2: Convert to fraction form
   83,814/170,058 = 170,058/x
3. Step 3: Cross multiply
   83,814x = 170,058 × 170,058
4. Step 4: Simplify right side
   83,814x = 28,919,723,364
5. Step 5: Solve for x
   x = 28,919,723,364/83,814
6. Step 6: Final answer
   x = 345,046.45