Finding the Third Proportional to 212,878.25 and 354,782

Step by Step Solution

1. Step 1: Write the proportion equation
   212,878.25 : 354,782 = 354,782 : x
2. Step 2: Convert to fraction form
   212,878.25/354,782 = 354,782/x
3. Step 3: Cross multiply
   212,878.25x = 354,782 × 354,782
4. Step 4: Simplify right side
   212,878.25x = 125,870,267,524
5. Step 5: Solve for x
   x = 125,870,267,524/212,878.25
6. Step 6: Final answer
   x = 591,278.20