Finding the Third Proportional to 784.83 and 1,262.46

Step by Step Solution

1. Step 1: Write the proportion equation
   784.83 : 1,262.46 = 1,262.46 : x
2. Step 2: Convert to fraction form
   784.83/1,262.46 = 1,262.46/x
3. Step 3: Cross multiply
   784.83x = 1,262.46 × 1,262.46
4. Step 4: Simplify right side
   784.83x = 1,593,807.62
5. Step 5: Solve for x
   x = 1,593,807.62/784.83
6. Step 6: Final answer
   x = 2,030.77