Finding the Third Proportional to 520.17 and 692.46

Step by Step Solution

1. Step 1: Write the proportion equation
   520.17 : 692.46 = 692.46 : x
2. Step 2: Convert to fraction form
   520.17/692.46 = 692.46/x
3. Step 3: Cross multiply
   520.17x = 692.46 × 692.46
4. Step 4: Simplify right side
   520.17x = 479,494.04
5. Step 5: Solve for x
   x = 479,494.04/520.17
6. Step 6: Final answer
   x = 921.80