Finding the Third Proportional to 123,962 and 271,278

Step by Step Solution

1. Step 1: Write the proportion equation
   123,962 : 271,278 = 271,278 : x
2. Step 2: Convert to fraction form
   123,962/271,278 = 271,278/x
3. Step 3: Cross multiply
   123,962x = 271,278 × 271,278
4. Step 4: Simplify right side
   123,962x = 73,591,753,284
5. Step 5: Solve for x
   x = 73,591,753,284/123,962
6. Step 6: Final answer
   x = 593,663.81