Finding the Third Proportional to 189,938 and 405,300

Step by Step Solution

1. Step 1: Write the proportion equation
   189,938 : 405,300 = 405,300 : x
2. Step 2: Convert to fraction form
   189,938/405,300 = 405,300/x
3. Step 3: Cross multiply
   189,938x = 405,300 × 405,300
4. Step 4: Simplify right side
   189,938x = 164,268,090,000
5. Step 5: Solve for x
   x = 164,268,090,000/189,938
6. Step 6: Final answer
   x = 864,851.11