Finding the Third Proportional to 96,138 and 208,500

Step by Step Solution

1. Step 1: Write the proportion equation
   96,138 : 208,500 = 208,500 : x
2. Step 2: Convert to fraction form
   96,138/208,500 = 208,500/x
3. Step 3: Cross multiply
   96,138x = 208,500 × 208,500
4. Step 4: Simplify right side
   96,138x = 43,472,250,000
5. Step 5: Solve for x
   x = 43,472,250,000/96,138
6. Step 6: Final answer
   x = 452,185.92