Finding the Third Proportional to 25,906 and 56,494

Step by Step Solution

1. Step 1: Write the proportion equation
   25,906 : 56,494 = 56,494 : x
2. Step 2: Convert to fraction form
   25,906/56,494 = 56,494/x
3. Step 3: Cross multiply
   25,906x = 56,494 × 56,494
4. Step 4: Simplify right side
   25,906x = 3,191,572,036
5. Step 5: Solve for x
   x = 3,191,572,036/25,906
6. Step 6: Final answer
   x = 123,198.18