Finding the Third Proportional to 43,782 and 90,678

Step by Step Solution

1. Step 1: Write the proportion equation
   43,782 : 90,678 = 90,678 : x
2. Step 2: Convert to fraction form
   43,782/90,678 = 90,678/x
3. Step 3: Cross multiply
   43,782x = 90,678 × 90,678
4. Step 4: Simplify right side
   43,782x = 8,222,499,684
5. Step 5: Solve for x
   x = 8,222,499,684/43,782
6. Step 6: Final answer
   x = 187,805.48