Finding the Third Proportional to 96,663 and 204,942

Step by Step Solution

1. Step 1: Write the proportion equation
   96,663 : 204,942 = 204,942 : x
2. Step 2: Convert to fraction form
   96,663/204,942 = 204,942/x
3. Step 3: Cross multiply
   96,663x = 204,942 × 204,942
4. Step 4: Simplify right side
   96,663x = 42,001,223,364
5. Step 5: Solve for x
   x = 42,001,223,364/96,663
6. Step 6: Final answer
   x = 434,511.90