Finding the Third Proportional to 72,640 and 109,576

Step by Step Solution

1. Step 1: Write the proportion equation
   72,640 : 109,576 = 109,576 : x
2. Step 2: Convert to fraction form
   72,640/109,576 = 109,576/x
3. Step 3: Cross multiply
   72,640x = 109,576 × 109,576
4. Step 4: Simplify right side
   72,640x = 12,006,899,776
5. Step 5: Solve for x
   x = 12,006,899,776/72,640
6. Step 6: Final answer
   x = 165,293.22