Finding the Third Proportional to 85,713 and 175,602

Step by Step Solution

1. Step 1: Write the proportion equation
   85,713 : 175,602 = 175,602 : x
2. Step 2: Convert to fraction form
   85,713/175,602 = 175,602/x
3. Step 3: Cross multiply
   85,713x = 175,602 × 175,602
4. Step 4: Simplify right side
   85,713x = 30,836,062,404
5. Step 5: Solve for x
   x = 30,836,062,404/85,713
6. Step 6: Final answer
   x = 359,759.46