Finding the Third Proportional to 25,722 and 56,178

Step by Step Solution

1. Step 1: Write the proportion equation
   25,722 : 56,178 = 56,178 : x
2. Step 2: Convert to fraction form
   25,722/56,178 = 56,178/x
3. Step 3: Cross multiply
   25,722x = 56,178 × 56,178
4. Step 4: Simplify right side
   25,722x = 3,155,967,684
5. Step 5: Solve for x
   x = 3,155,967,684/25,722
6. Step 6: Final answer
   x = 122,695.27