Finding the Third Proportional to 126,532 and 189,510

Step by Step Solution

1. Step 1: Write the proportion equation
   126,532 : 189,510 = 189,510 : x
2. Step 2: Convert to fraction form
   126,532/189,510 = 189,510/x
3. Step 3: Cross multiply
   126,532x = 189,510 × 189,510
4. Step 4: Simplify right side
   126,532x = 35,914,040,100
5. Step 5: Solve for x
   x = 35,914,040,100/126,532
6. Step 6: Final answer
   x = 283,833.66