Finding the Third Proportional to 83,573 and 174,058

Step by Step Solution

1. Step 1: Write the proportion equation
   83,573 : 174,058 = 174,058 : x
2. Step 2: Convert to fraction form
   83,573/174,058 = 174,058/x
3. Step 3: Cross multiply
   83,573x = 174,058 × 174,058
4. Step 4: Simplify right side
   83,573x = 30,296,187,364
5. Step 5: Solve for x
   x = 30,296,187,364/83,573
6. Step 6: Final answer
   x = 362,511.66