Finding the Third Proportional to 89,820 and 197,100

Step by Step Solution

1. Step 1: Write the proportion equation
   89,820 : 197,100 = 197,100 : x
2. Step 2: Convert to fraction form
   89,820/197,100 = 197,100/x
3. Step 3: Cross multiply
   89,820x = 197,100 × 197,100
4. Step 4: Simplify right side
   89,820x = 38,848,410,000
5. Step 5: Solve for x
   x = 38,848,410,000/89,820
6. Step 6: Final answer
   x = 432,514.03