Finding the Third Proportional to 126,535 and 194,030

Step by Step Solution

1. Step 1: Write the proportion equation
   126,535 : 194,030 = 194,030 : x
2. Step 2: Convert to fraction form
   126,535/194,030 = 194,030/x
3. Step 3: Cross multiply
   126,535x = 194,030 × 194,030
4. Step 4: Simplify right side
   126,535x = 37,647,640,900
5. Step 5: Solve for x
   x = 37,647,640,900/126,535
6. Step 6: Final answer
   x = 297,527.49