Finding the Third Proportional to 25,534 and 55,178

Step by Step Solution

1. Step 1: Write the proportion equation
   25,534 : 55,178 = 55,178 : x
2. Step 2: Convert to fraction form
   25,534/55,178 = 55,178/x
3. Step 3: Cross multiply
   25,534x = 55,178 × 55,178
4. Step 4: Simplify right side
   25,534x = 3,044,611,684
5. Step 5: Solve for x
   x = 3,044,611,684/25,534
6. Step 6: Final answer
   x = 119,237.55