Finding the Third Proportional to 71,546 and 141,290

Step by Step Solution

1. Step 1: Write the proportion equation
   71,546 : 141,290 = 141,290 : x
2. Step 2: Convert to fraction form
   71,546/141,290 = 141,290/x
3. Step 3: Cross multiply
   71,546x = 141,290 × 141,290
4. Step 4: Simplify right side
   71,546x = 19,962,864,100
5. Step 5: Solve for x
   x = 19,962,864,100/71,546
6. Step 6: Final answer
   x = 279,021.39