Finding the Third Proportional to 135,735 and 204,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,735 : 204,993.50 = 204,993.50 : x
2. Step 2: Convert to fraction form
   135,735/204,993.50 = 204,993.50/x
3. Step 3: Cross multiply
   135,735x = 204,993.50 × 204,993.50
4. Step 4: Simplify right side
   135,735x = 42,022,335,042.25
5. Step 5: Solve for x
   x = 42,022,335,042.25/135,735
6. Step 6: Final answer
   x = 309,591.00