Finding the Third Proportional to 89,919 and 189,090

Step by Step Solution

1. Step 1: Write the proportion equation
   89,919 : 189,090 = 189,090 : x
2. Step 2: Convert to fraction form
   89,919/189,090 = 189,090/x
3. Step 3: Cross multiply
   89,919x = 189,090 × 189,090
4. Step 4: Simplify right side
   89,919x = 35,755,028,100
5. Step 5: Solve for x
   x = 35,755,028,100/89,919
6. Step 6: Final answer
   x = 397,635.96