Finding the Third Proportional to 102,397.50 and 209,898

Step by Step Solution

1. Step 1: Write the proportion equation
   102,397.50 : 209,898 = 209,898 : x
2. Step 2: Convert to fraction form
   102,397.50/209,898 = 209,898/x
3. Step 3: Cross multiply
   102,397.50x = 209,898 × 209,898
4. Step 4: Simplify right side
   102,397.50x = 44,057,170,404
5. Step 5: Solve for x
   x = 44,057,170,404/102,397.50
6. Step 6: Final answer
   x = 430,256.31