Finding the Third Proportional to 127,152 and 271,188

Step by Step Solution

1. Step 1: Write the proportion equation
   127,152 : 271,188 = 271,188 : x
2. Step 2: Convert to fraction form
   127,152/271,188 = 271,188/x
3. Step 3: Cross multiply
   127,152x = 271,188 × 271,188
4. Step 4: Simplify right side
   127,152x = 73,542,931,344
5. Step 5: Solve for x
   x = 73,542,931,344/127,152
6. Step 6: Final answer
   x = 578,385.96