Finding the Third Proportional to 784.69 and 832.78

Step by Step Solution

1. Step 1: Write the proportion equation
   784.69 : 832.78 = 832.78 : x
2. Step 2: Convert to fraction form
   784.69/832.78 = 832.78/x
3. Step 3: Cross multiply
   784.69x = 832.78 × 832.78
4. Step 4: Simplify right side
   784.69x = 693,524.61
5. Step 5: Solve for x
   x = 693,524.61/784.69
6. Step 6: Final answer
   x = 883.82