Finding the Third Proportional to 89,019 and 193,428

Step by Step Solution

1. Step 1: Write the proportion equation
   89,019 : 193,428 = 193,428 : x
2. Step 2: Convert to fraction form
   89,019/193,428 = 193,428/x
3. Step 3: Cross multiply
   89,019x = 193,428 × 193,428
4. Step 4: Simplify right side
   89,019x = 37,414,391,184
5. Step 5: Solve for x
   x = 37,414,391,184/89,019
6. Step 6: Final answer
   x = 420,296.69