Finding the Third Proportional to 89,826 and 195,598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,826 : 195,598.50 = 195,598.50 : x
2. Step 2: Convert to fraction form
   89,826/195,598.50 = 195,598.50/x
3. Step 3: Cross multiply
   89,826x = 195,598.50 × 195,598.50
4. Step 4: Simplify right side
   89,826x = 38,258,773,202.25
5. Step 5: Solve for x
   x = 38,258,773,202.25/89,826
6. Step 6: Final answer
   x = 425,920.93