Finding the Third Proportional to 123,562 and 271,181

Step by Step Solution

1. Step 1: Write the proportion equation
   123,562 : 271,181 = 271,181 : x
2. Step 2: Convert to fraction form
   123,562/271,181 = 271,181/x
3. Step 3: Cross multiply
   123,562x = 271,181 × 271,181
4. Step 4: Simplify right side
   123,562x = 73,539,134,761
5. Step 5: Solve for x
   x = 73,539,134,761/123,562
6. Step 6: Final answer
   x = 595,159.80