Finding the Third Proportional to 71,061 and 164,526

Step by Step Solution

1. Step 1: Write the proportion equation
   71,061 : 164,526 = 164,526 : x
2. Step 2: Convert to fraction form
   71,061/164,526 = 164,526/x
3. Step 3: Cross multiply
   71,061x = 164,526 × 164,526
4. Step 4: Simplify right side
   71,061x = 27,068,804,676
5. Step 5: Solve for x
   x = 27,068,804,676/71,061
6. Step 6: Final answer
   x = 380,923.50