Finding the Third Proportional to 25,678 and 56,185

Step by Step Solution

1. Step 1: Write the proportion equation
   25,678 : 56,185 = 56,185 : x
2. Step 2: Convert to fraction form
   25,678/56,185 = 56,185/x
3. Step 3: Cross multiply
   25,678x = 56,185 × 56,185
4. Step 4: Simplify right side
   25,678x = 3,156,754,225
5. Step 5: Solve for x
   x = 3,156,754,225/25,678
6. Step 6: Final answer
   x = 122,936.14