Finding the Third Proportional to 72,576 and 113,454

Step by Step Solution

1. Step 1: Write the proportion equation
   72,576 : 113,454 = 113,454 : x
2. Step 2: Convert to fraction form
   72,576/113,454 = 113,454/x
3. Step 3: Cross multiply
   72,576x = 113,454 × 113,454
4. Step 4: Simplify right side
   72,576x = 12,871,810,116
5. Step 5: Solve for x
   x = 12,871,810,116/72,576
6. Step 6: Final answer
   x = 177,356.29