Finding the Third Proportional to 135,613 and 204,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,613 : 204,409.50 = 204,409.50 : x
2. Step 2: Convert to fraction form
   135,613/204,409.50 = 204,409.50/x
3. Step 3: Cross multiply
   135,613x = 204,409.50 × 204,409.50
4. Step 4: Simplify right side
   135,613x = 41,783,243,690.25
5. Step 5: Solve for x
   x = 41,783,243,690.25/135,613
6. Step 6: Final answer
   x = 308,106.48