Finding the Third Proportional to 699.89 and 980.86

Step by Step Solution

1. Step 1: Write the proportion equation
   699.89 : 980.86 = 980.86 : x
2. Step 2: Convert to fraction form
   699.89/980.86 = 980.86/x
3. Step 3: Cross multiply
   699.89x = 980.86 × 980.86
4. Step 4: Simplify right side
   699.89x = 962,085.11
5. Step 5: Solve for x
   x = 962,085.11/699.89
6. Step 6: Final answer
   x = 1,374.62