Finding the Third Proportional to 71,596.50 and 141,386

Step by Step Solution

1. Step 1: Write the proportion equation
   71,596.50 : 141,386 = 141,386 : x
2. Step 2: Convert to fraction form
   71,596.50/141,386 = 141,386/x
3. Step 3: Cross multiply
   71,596.50x = 141,386 × 141,386
4. Step 4: Simplify right side
   71,596.50x = 19,990,000,996
5. Step 5: Solve for x
   x = 19,990,000,996/71,596.50
6. Step 6: Final answer
   x = 279,203.61