Finding the Third Proportional to 127,233 and 271,314

Step by Step Solution

1. Step 1: Write the proportion equation
   127,233 : 271,314 = 271,314 : x
2. Step 2: Convert to fraction form
   127,233/271,314 = 271,314/x
3. Step 3: Cross multiply
   127,233x = 271,314 × 271,314
4. Step 4: Simplify right side
   127,233x = 73,611,286,596
5. Step 5: Solve for x
   x = 73,611,286,596/127,233
6. Step 6: Final answer
   x = 578,554.99