Finding the Third Proportional to 127,852.17 and 189,304.59

Step by Step Solution

1. Step 1: Write the proportion equation
   127,852.17 : 189,304.59 = 189,304.59 : x
2. Step 2: Convert to fraction form
   127,852.17/189,304.59 = 189,304.59/x
3. Step 3: Cross multiply
   127,852.17x = 189,304.59 × 189,304.59
4. Step 4: Simplify right side
   127,852.17x = 35,836,229,214.85
5. Step 5: Solve for x
   x = 35,836,229,214.85/127,852.17
6. Step 6: Final answer
   x = 280,294.25