Finding the Third Proportional to 592.31 and 919.69

Step by Step Solution

1. Step 1: Write the proportion equation
   592.31 : 919.69 = 919.69 : x
2. Step 2: Convert to fraction form
   592.31/919.69 = 919.69/x
3. Step 3: Cross multiply
   592.31x = 919.69 × 919.69
4. Step 4: Simplify right side
   592.31x = 845,825.10
5. Step 5: Solve for x
   x = 845,825.10/592.31
6. Step 6: Final answer
   x = 1,428.00