Finding the Third Proportional to 784.69 and 840.38

Step by Step Solution

1. Step 1: Write the proportion equation
   784.69 : 840.38 = 840.38 : x
2. Step 2: Convert to fraction form
   784.69/840.38 = 840.38/x
3. Step 3: Cross multiply
   784.69x = 840.38 × 840.38
4. Step 4: Simplify right side
   784.69x = 706,230.14
5. Step 5: Solve for x
   x = 706,230.14/784.69
6. Step 6: Final answer
   x = 900.01