Finding the Third Proportional to 189,201 and 404,106

Step by Step Solution

1. Step 1: Write the proportion equation
   189,201 : 404,106 = 404,106 : x
2. Step 2: Convert to fraction form
   189,201/404,106 = 404,106/x
3. Step 3: Cross multiply
   189,201x = 404,106 × 404,106
4. Step 4: Simplify right side
   189,201x = 163,301,659,236
5. Step 5: Solve for x
   x = 163,301,659,236/189,201
6. Step 6: Final answer
   x = 863,112.03