Finding the Third Proportional to 71,286 and 144,300

Step by Step Solution

1. Step 1: Write the proportion equation
   71,286 : 144,300 = 144,300 : x
2. Step 2: Convert to fraction form
   71,286/144,300 = 144,300/x
3. Step 3: Cross multiply
   71,286x = 144,300 × 144,300
4. Step 4: Simplify right side
   71,286x = 20,822,490,000
5. Step 5: Solve for x
   x = 20,822,490,000/71,286
6. Step 6: Final answer
   x = 292,097.89