Finding the Third Proportional to 123,563 and 271,182

Step by Step Solution

1. Step 1: Write the proportion equation
   123,563 : 271,182 = 271,182 : x
2. Step 2: Convert to fraction form
   123,563/271,182 = 271,182/x
3. Step 3: Cross multiply
   123,563x = 271,182 × 271,182
4. Step 4: Simplify right side
   123,563x = 73,539,677,124
5. Step 5: Solve for x
   x = 73,539,677,124/123,563
6. Step 6: Final answer
   x = 595,159.37