Finding the Third Proportional to 72,444 and 102,576

Step by Step Solution

1. Step 1: Write the proportion equation
   72,444 : 102,576 = 102,576 : x
2. Step 2: Convert to fraction form
   72,444/102,576 = 102,576/x
3. Step 3: Cross multiply
   72,444x = 102,576 × 102,576
4. Step 4: Simplify right side
   72,444x = 10,521,835,776
5. Step 5: Solve for x
   x = 10,521,835,776/72,444
6. Step 6: Final answer
   x = 145,240.96