Finding the Third Proportional to 102,072 and 216,500

Step by Step Solution

1. Step 1: Write the proportion equation
   102,072 : 216,500 = 216,500 : x
2. Step 2: Convert to fraction form
   102,072/216,500 = 216,500/x
3. Step 3: Cross multiply
   102,072x = 216,500 × 216,500
4. Step 4: Simplify right side
   102,072x = 46,872,250,000
5. Step 5: Solve for x
   x = 46,872,250,000/102,072
6. Step 6: Final answer
   x = 459,207.72