Finding the Third Proportional to 89,478 and 192,969

Step by Step Solution

1. Step 1: Write the proportion equation
   89,478 : 192,969 = 192,969 : x
2. Step 2: Convert to fraction form
   89,478/192,969 = 192,969/x
3. Step 3: Cross multiply
   89,478x = 192,969 × 192,969
4. Step 4: Simplify right side
   89,478x = 37,237,034,961
5. Step 5: Solve for x
   x = 37,237,034,961/89,478
6. Step 6: Final answer
   x = 416,158.55