Finding the Third Proportional to 82,640 and 179,012

Step by Step Solution

1. Step 1: Write the proportion equation
   82,640 : 179,012 = 179,012 : x
2. Step 2: Convert to fraction form
   82,640/179,012 = 179,012/x
3. Step 3: Cross multiply
   82,640x = 179,012 × 179,012
4. Step 4: Simplify right side
   82,640x = 32,045,296,144
5. Step 5: Solve for x
   x = 32,045,296,144/82,640
6. Step 6: Final answer
   x = 387,769.80