Finding the Third Proportional to 798 and 1,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   798 : 1,208.50 = 1,208.50 : x
2. Step 2: Convert to fraction form
   798/1,208.50 = 1,208.50/x
3. Step 3: Cross multiply
   798x = 1,208.50 × 1,208.50
4. Step 4: Simplify right side
   798x = 1,460,472.25
5. Step 5: Solve for x
   x = 1,460,472.25/798
6. Step 6: Final answer
   x = 1,830.17