Finding the Third Proportional to 135,162 and 194,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,162 : 194,697.50 = 194,697.50 : x
2. Step 2: Convert to fraction form
   135,162/194,697.50 = 194,697.50/x
3. Step 3: Cross multiply
   135,162x = 194,697.50 × 194,697.50
4. Step 4: Simplify right side
   135,162x = 37,907,116,506.25
5. Step 5: Solve for x
   x = 37,907,116,506.25/135,162
6. Step 6: Final answer
   x = 280,456.91