Finding the Third Proportional to 189,864 and 404,272

Step by Step Solution

1. Step 1: Write the proportion equation
   189,864 : 404,272 = 404,272 : x
2. Step 2: Convert to fraction form
   189,864/404,272 = 404,272/x
3. Step 3: Cross multiply
   189,864x = 404,272 × 404,272
4. Step 4: Simplify right side
   189,864x = 163,435,849,984
5. Step 5: Solve for x
   x = 163,435,849,984/189,864
6. Step 6: Final answer
   x = 860,804.84