Finding the Third Proportional to 89,406 and 195,420.38

Step by Step Solution

1. Step 1: Write the proportion equation
   89,406 : 195,420.38 = 195,420.38 : x
2. Step 2: Convert to fraction form
   89,406/195,420.38 = 195,420.38/x
3. Step 3: Cross multiply
   89,406x = 195,420.38 × 195,420.38
4. Step 4: Simplify right side
   89,406x = 38,189,122,965.14
5. Step 5: Solve for x
   x = 38,189,122,965.14/89,406
6. Step 6: Final answer
   x = 427,142.73