Finding the Third Proportional to 89,649 and 195,069

Step by Step Solution

1. Step 1: Write the proportion equation
   89,649 : 195,069 = 195,069 : x
2. Step 2: Convert to fraction form
   89,649/195,069 = 195,069/x
3. Step 3: Cross multiply
   89,649x = 195,069 × 195,069
4. Step 4: Simplify right side
   89,649x = 38,051,914,761
5. Step 5: Solve for x
   x = 38,051,914,761/89,649
6. Step 6: Final answer
   x = 424,454.43