Finding the Third Proportional to 116,478 and 174,825

Step by Step Solution

1. Step 1: Write the proportion equation
   116,478 : 174,825 = 174,825 : x
2. Step 2: Convert to fraction form
   116,478/174,825 = 174,825/x
3. Step 3: Cross multiply
   116,478x = 174,825 × 174,825
4. Step 4: Simplify right side
   116,478x = 30,563,780,625
5. Step 5: Solve for x
   x = 30,563,780,625/116,478
6. Step 6: Final answer
   x = 262,399.60