Finding the Third Proportional to 89,289 and 196,434

Step by Step Solution

1. Step 1: Write the proportion equation
   89,289 : 196,434 = 196,434 : x
2. Step 2: Convert to fraction form
   89,289/196,434 = 196,434/x
3. Step 3: Cross multiply
   89,289x = 196,434 × 196,434
4. Step 4: Simplify right side
   89,289x = 38,586,316,356
5. Step 5: Solve for x
   x = 38,586,316,356/89,289
6. Step 6: Final answer
   x = 432,150.84