Finding the Third Proportional to 89,902 and 197,084

Step by Step Solution

1. Step 1: Write the proportion equation
   89,902 : 197,084 = 197,084 : x
2. Step 2: Convert to fraction form
   89,902/197,084 = 197,084/x
3. Step 3: Cross multiply
   89,902x = 197,084 × 197,084
4. Step 4: Simplify right side
   89,902x = 38,842,103,056
5. Step 5: Solve for x
   x = 38,842,103,056/89,902
6. Step 6: Final answer
   x = 432,049.38