Finding the Third Proportional to 127,870 and 189,327

Step by Step Solution

1. Step 1: Write the proportion equation
   127,870 : 189,327 = 189,327 : x
2. Step 2: Convert to fraction form
   127,870/189,327 = 189,327/x
3. Step 3: Cross multiply
   127,870x = 189,327 × 189,327
4. Step 4: Simplify right side
   127,870x = 35,844,712,929
5. Step 5: Solve for x
   x = 35,844,712,929/127,870
6. Step 6: Final answer
   x = 280,321.52