Finding the Third Proportional to 124,576 and 179,072

Step by Step Solution

1. Step 1: Write the proportion equation
   124,576 : 179,072 = 179,072 : x
2. Step 2: Convert to fraction form
   124,576/179,072 = 179,072/x
3. Step 3: Cross multiply
   124,576x = 179,072 × 179,072
4. Step 4: Simplify right side
   124,576x = 32,066,781,184
5. Step 5: Solve for x
   x = 32,066,781,184/124,576
6. Step 6: Final answer
   x = 257,407.38