Finding the Third Proportional to 460.50 and 983.06

Step by Step Solution

1. Step 1: Write the proportion equation
   460.50 : 983.06 = 983.06 : x
2. Step 2: Convert to fraction form
   460.50/983.06 = 983.06/x
3. Step 3: Cross multiply
   460.50x = 983.06 × 983.06
4. Step 4: Simplify right side
   460.50x = 966,411.88
5. Step 5: Solve for x
   x = 966,411.88/460.50
6. Step 6: Final answer
   x = 2,098.61