Finding the Third Proportional to 89,664 and 190,656

Step by Step Solution

1. Step 1: Write the proportion equation
   89,664 : 190,656 = 190,656 : x
2. Step 2: Convert to fraction form
   89,664/190,656 = 190,656/x
3. Step 3: Cross multiply
   89,664x = 190,656 × 190,656
4. Step 4: Simplify right side
   89,664x = 36,349,710,336
5. Step 5: Solve for x
   x = 36,349,710,336/89,664
6. Step 6: Final answer
   x = 405,399.16