Finding the Third Proportional to 128,814 and 205,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,814 : 205,099.50 = 205,099.50 : x
2. Step 2: Convert to fraction form
   128,814/205,099.50 = 205,099.50/x
3. Step 3: Cross multiply
   128,814x = 205,099.50 × 205,099.50
4. Step 4: Simplify right side
   128,814x = 42,065,804,900.25
5. Step 5: Solve for x
   x = 42,065,804,900.25/128,814
6. Step 6: Final answer
   x = 326,562.37