Finding the Third Proportional to 109,782 and 174,825

Step by Step Solution

1. Step 1: Write the proportion equation
   109,782 : 174,825 = 174,825 : x
2. Step 2: Convert to fraction form
   109,782/174,825 = 174,825/x
3. Step 3: Cross multiply
   109,782x = 174,825 × 174,825
4. Step 4: Simplify right side
   109,782x = 30,563,780,625
5. Step 5: Solve for x
   x = 30,563,780,625/109,782
6. Step 6: Final answer
   x = 278,404.30