Finding the Third Proportional to 136,821 and 204,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,821 : 204,682.50 = 204,682.50 : x
2. Step 2: Convert to fraction form
   136,821/204,682.50 = 204,682.50/x
3. Step 3: Cross multiply
   136,821x = 204,682.50 × 204,682.50
4. Step 4: Simplify right side
   136,821x = 41,894,925,806.25
5. Step 5: Solve for x
   x = 41,894,925,806.25/136,821
6. Step 6: Final answer
   x = 306,202.45