Finding the Third Proportional to 126,767.50 and 194,868

Step by Step Solution

1. Step 1: Write the proportion equation
   126,767.50 : 194,868 = 194,868 : x
2. Step 2: Convert to fraction form
   126,767.50/194,868 = 194,868/x
3. Step 3: Cross multiply
   126,767.50x = 194,868 × 194,868
4. Step 4: Simplify right side
   126,767.50x = 37,973,537,424
5. Step 5: Solve for x
   x = 37,973,537,424/126,767.50
6. Step 6: Final answer
   x = 299,552.63