Finding the Third Proportional to 89,974 and 196,899

Step by Step Solution

1. Step 1: Write the proportion equation
   89,974 : 196,899 = 196,899 : x
2. Step 2: Convert to fraction form
   89,974/196,899 = 196,899/x
3. Step 3: Cross multiply
   89,974x = 196,899 × 196,899
4. Step 4: Simplify right side
   89,974x = 38,769,216,201
5. Step 5: Solve for x
   x = 38,769,216,201/89,974
6. Step 6: Final answer
   x = 430,893.55