Finding the Third Proportional to 89,030 and 189,643

Step by Step Solution

1. Step 1: Write the proportion equation
   89,030 : 189,643 = 189,643 : x
2. Step 2: Convert to fraction form
   89,030/189,643 = 189,643/x
3. Step 3: Cross multiply
   89,030x = 189,643 × 189,643
4. Step 4: Simplify right side
   89,030x = 35,964,467,449
5. Step 5: Solve for x
   x = 35,964,467,449/89,030
6. Step 6: Final answer
   x = 403,958.97