Finding the Third Proportional to 82,011 and 173,526

Step by Step Solution

1. Step 1: Write the proportion equation
   82,011 : 173,526 = 173,526 : x
2. Step 2: Convert to fraction form
   82,011/173,526 = 173,526/x
3. Step 3: Cross multiply
   82,011x = 173,526 × 173,526
4. Step 4: Simplify right side
   82,011x = 30,111,272,676
5. Step 5: Solve for x
   x = 30,111,272,676/82,011
6. Step 6: Final answer
   x = 367,161.39