Finding the Third Proportional to 41,439 and 89,430

Step by Step Solution

1. Step 1: Write the proportion equation
   41,439 : 89,430 = 89,430 : x
2. Step 2: Convert to fraction form
   41,439/89,430 = 89,430/x
3. Step 3: Cross multiply
   41,439x = 89,430 × 89,430
4. Step 4: Simplify right side
   41,439x = 7,997,724,900
5. Step 5: Solve for x
   x = 7,997,724,900/41,439
6. Step 6: Final answer
   x = 192,999.95