Finding the Third Proportional to 784.69 and 1,182.94

Step by Step Solution

1. Step 1: Write the proportion equation
   784.69 : 1,182.94 = 1,182.94 : x
2. Step 2: Convert to fraction form
   784.69/1,182.94 = 1,182.94/x
3. Step 3: Cross multiply
   784.69x = 1,182.94 × 1,182.94
4. Step 4: Simplify right side
   784.69x = 1,399,341.13
5. Step 5: Solve for x
   x = 1,399,341.13/784.69
6. Step 6: Final answer
   x = 1,783.31