Finding the Third Proportional to 89,830 and 195,597

Step by Step Solution

1. Step 1: Write the proportion equation
   89,830 : 195,597 = 195,597 : x
2. Step 2: Convert to fraction form
   89,830/195,597 = 195,597/x
3. Step 3: Cross multiply
   89,830x = 195,597 × 195,597
4. Step 4: Simplify right side
   89,830x = 38,258,186,409
5. Step 5: Solve for x
   x = 38,258,186,409/89,830
6. Step 6: Final answer
   x = 425,895.43