Finding the Third Proportional to 135,246 and 194,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,246 : 194,809.50 = 194,809.50 : x
2. Step 2: Convert to fraction form
   135,246/194,809.50 = 194,809.50/x
3. Step 3: Cross multiply
   135,246x = 194,809.50 × 194,809.50
4. Step 4: Simplify right side
   135,246x = 37,950,741,290.25
5. Step 5: Solve for x
   x = 37,950,741,290.25/135,246
6. Step 6: Final answer
   x = 280,605.28