Finding the Third Proportional to 94,500 and 204,516

Step by Step Solution

1. Step 1: Write the proportion equation
   94,500 : 204,516 = 204,516 : x
2. Step 2: Convert to fraction form
   94,500/204,516 = 204,516/x
3. Step 3: Cross multiply
   94,500x = 204,516 × 204,516
4. Step 4: Simplify right side
   94,500x = 41,826,794,256
5. Step 5: Solve for x
   x = 41,826,794,256/94,500
6. Step 6: Final answer
   x = 442,611.58