Finding the Third Proportional to 128,817 and 189,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,817 : 189,493.50 = 189,493.50 : x
2. Step 2: Convert to fraction form
   128,817/189,493.50 = 189,493.50/x
3. Step 3: Cross multiply
   128,817x = 189,493.50 × 189,493.50
4. Step 4: Simplify right side
   128,817x = 35,907,786,542.25
5. Step 5: Solve for x
   x = 35,907,786,542.25/128,817
6. Step 6: Final answer
   x = 278,750.37