Finding the Third Proportional to 71,184 and 144,414

Step by Step Solution

1. Step 1: Write the proportion equation
   71,184 : 144,414 = 144,414 : x
2. Step 2: Convert to fraction form
   71,184/144,414 = 144,414/x
3. Step 3: Cross multiply
   71,184x = 144,414 × 144,414
4. Step 4: Simplify right side
   71,184x = 20,855,403,396
5. Step 5: Solve for x
   x = 20,855,403,396/71,184
6. Step 6: Final answer
   x = 292,978.81