Finding the Third Proportional to 89,574 and 195,522

Step by Step Solution

1. Step 1: Write the proportion equation
   89,574 : 195,522 = 195,522 : x
2. Step 2: Convert to fraction form
   89,574/195,522 = 195,522/x
3. Step 3: Cross multiply
   89,574x = 195,522 × 195,522
4. Step 4: Simplify right side
   89,574x = 38,228,852,484
5. Step 5: Solve for x
   x = 38,228,852,484/89,574
6. Step 6: Final answer
   x = 426,785.14