Finding the Third Proportional to 189,958.50 and 405,340.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,958.50 : 405,340.50 = 405,340.50 : x
2. Step 2: Convert to fraction form
   189,958.50/405,340.50 = 405,340.50/x
3. Step 3: Cross multiply
   189,958.50x = 405,340.50 × 405,340.50
4. Step 4: Simplify right side
   189,958.50x = 164,300,920,940.25
5. Step 5: Solve for x
   x = 164,300,920,940.25/189,958.50
6. Step 6: Final answer
   x = 864,930.61