Finding the Third Proportional to 123,564 and 271,186

Step by Step Solution

1. Step 1: Write the proportion equation
   123,564 : 271,186 = 271,186 : x
2. Step 2: Convert to fraction form
   123,564/271,186 = 271,186/x
3. Step 3: Cross multiply
   123,564x = 271,186 × 271,186
4. Step 4: Simplify right side
   123,564x = 73,541,846,596
5. Step 5: Solve for x
   x = 73,541,846,596/123,564
6. Step 6: Final answer
   x = 595,172.11