Finding the Third Proportional to 128,841 and 189,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,841 : 189,406.50 = 189,406.50 : x
2. Step 2: Convert to fraction form
   128,841/189,406.50 = 189,406.50/x
3. Step 3: Cross multiply
   128,841x = 189,406.50 × 189,406.50
4. Step 4: Simplify right side
   128,841x = 35,874,822,242.25
5. Step 5: Solve for x
   x = 35,874,822,242.25/128,841
6. Step 6: Final answer
   x = 278,442.59