Finding the Third Proportional to 127,672 and 274,298

Step by Step Solution

1. Step 1: Write the proportion equation
   127,672 : 274,298 = 274,298 : x
2. Step 2: Convert to fraction form
   127,672/274,298 = 274,298/x
3. Step 3: Cross multiply
   127,672x = 274,298 × 274,298
4. Step 4: Simplify right side
   127,672x = 75,239,392,804
5. Step 5: Solve for x
   x = 75,239,392,804/127,672
6. Step 6: Final answer
   x = 589,317.88