Finding the Third Proportional to 89,664 and 189,312

Step by Step Solution

1. Step 1: Write the proportion equation
   89,664 : 189,312 = 189,312 : x
2. Step 2: Convert to fraction form
   89,664/189,312 = 189,312/x
3. Step 3: Cross multiply
   89,664x = 189,312 × 189,312
4. Step 4: Simplify right side
   89,664x = 35,839,033,344
5. Step 5: Solve for x
   x = 35,839,033,344/89,664
6. Step 6: Final answer
   x = 399,703.71