Finding the Third Proportional to 235,856 and 362,960

Step by Step Solution

1. Step 1: Write the proportion equation
   235,856 : 362,960 = 362,960 : x
2. Step 2: Convert to fraction form
   235,856/362,960 = 362,960/x
3. Step 3: Cross multiply
   235,856x = 362,960 × 362,960
4. Step 4: Simplify right side
   235,856x = 131,739,961,600
5. Step 5: Solve for x
   x = 131,739,961,600/235,856
6. Step 6: Final answer
   x = 558,560.99