Finding the Third Proportional to 71,739 and 141,641

Step by Step Solution

1. Step 1: Write the proportion equation
   71,739 : 141,641 = 141,641 : x
2. Step 2: Convert to fraction form
   71,739/141,641 = 141,641/x
3. Step 3: Cross multiply
   71,739x = 141,641 × 141,641
4. Step 4: Simplify right side
   71,739x = 20,062,172,881
5. Step 5: Solve for x
   x = 20,062,172,881/71,739
6. Step 6: Final answer
   x = 279,655.04