Finding the Third Proportional to 123,896 and 271,516

Step by Step Solution

1. Step 1: Write the proportion equation
   123,896 : 271,516 = 271,516 : x
2. Step 2: Convert to fraction form
   123,896/271,516 = 271,516/x
3. Step 3: Cross multiply
   123,896x = 271,516 × 271,516
4. Step 4: Simplify right side
   123,896x = 73,720,938,256
5. Step 5: Solve for x
   x = 73,720,938,256/123,896
6. Step 6: Final answer
   x = 595,022.75