Finding the Third Proportional to 189,540 and 421,112.25

Step by Step Solution

1. Step 1: Write the proportion equation
   189,540 : 421,112.25 = 421,112.25 : x
2. Step 2: Convert to fraction form
   189,540/421,112.25 = 421,112.25/x
3. Step 3: Cross multiply
   189,540x = 421,112.25 × 421,112.25
4. Step 4: Simplify right side
   189,540x = 177,335,527,100.06
5. Step 5: Solve for x
   x = 177,335,527,100.06/189,540
6. Step 6: Final answer
   x = 935,610.04