Finding the Third Proportional to 189,930 and 405,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,930 : 405,280.50 = 405,280.50 : x
2. Step 2: Convert to fraction form
   189,930/405,280.50 = 405,280.50/x
3. Step 3: Cross multiply
   189,930x = 405,280.50 × 405,280.50
4. Step 4: Simplify right side
   189,930x = 164,252,283,680.25
5. Step 5: Solve for x
   x = 164,252,283,680.25/189,930
6. Step 6: Final answer
   x = 864,804.32