Finding the Third Proportional to 94,400 and 144,576

Step by Step Solution

1. Step 1: Write the proportion equation
   94,400 : 144,576 = 144,576 : x
2. Step 2: Convert to fraction form
   94,400/144,576 = 144,576/x
3. Step 3: Cross multiply
   94,400x = 144,576 × 144,576
4. Step 4: Simplify right side
   94,400x = 20,902,219,776
5. Step 5: Solve for x
   x = 20,902,219,776/94,400
6. Step 6: Final answer
   x = 221,421.82