Finding the Third Proportional to 123,591 and 271,245

Step by Step Solution

1. Step 1: Write the proportion equation
   123,591 : 271,245 = 271,245 : x
2. Step 2: Convert to fraction form
   123,591/271,245 = 271,245/x
3. Step 3: Cross multiply
   123,591x = 271,245 × 271,245
4. Step 4: Simplify right side
   123,591x = 73,573,850,025
5. Step 5: Solve for x
   x = 73,573,850,025/123,591
6. Step 6: Final answer
   x = 595,301.03