Finding the Third Proportional to 85,719 and 175,614

Step by Step Solution

1. Step 1: Write the proportion equation
   85,719 : 175,614 = 175,614 : x
2. Step 2: Convert to fraction form
   85,719/175,614 = 175,614/x
3. Step 3: Cross multiply
   85,719x = 175,614 × 175,614
4. Step 4: Simplify right side
   85,719x = 30,840,276,996
5. Step 5: Solve for x
   x = 30,840,276,996/85,719
6. Step 6: Final answer
   x = 359,783.44