Finding the Third Proportional to 514.50 and 698.63

Step by Step Solution

1. Step 1: Write the proportion equation
   514.50 : 698.63 = 698.63 : x
2. Step 2: Convert to fraction form
   514.50/698.63 = 698.63/x
3. Step 3: Cross multiply
   514.50x = 698.63 × 698.63
4. Step 4: Simplify right side
   514.50x = 488,076.89
5. Step 5: Solve for x
   x = 488,076.89/514.50
6. Step 6: Final answer
   x = 948.64