Finding the Third Proportional to 93,492 and 205,682

Step by Step Solution

1. Step 1: Write the proportion equation
   93,492 : 205,682 = 205,682 : x
2. Step 2: Convert to fraction form
   93,492/205,682 = 205,682/x
3. Step 3: Cross multiply
   93,492x = 205,682 × 205,682
4. Step 4: Simplify right side
   93,492x = 42,305,085,124
5. Step 5: Solve for x
   x = 42,305,085,124/93,492
6. Step 6: Final answer
   x = 452,499.52