Finding the Third Proportional to 96,688 and 209,500

Step by Step Solution

1. Step 1: Write the proportion equation
   96,688 : 209,500 = 209,500 : x
2. Step 2: Convert to fraction form
   96,688/209,500 = 209,500/x
3. Step 3: Cross multiply
   96,688x = 209,500 × 209,500
4. Step 4: Simplify right side
   96,688x = 43,890,250,000
5. Step 5: Solve for x
   x = 43,890,250,000/96,688
6. Step 6: Final answer
   x = 453,936.89