Finding the Third Proportional to 407.53 and 838.69

Step by Step Solution

1. Step 1: Write the proportion equation
   407.53 : 838.69 = 838.69 : x
2. Step 2: Convert to fraction form
   407.53/838.69 = 838.69/x
3. Step 3: Cross multiply
   407.53x = 838.69 × 838.69
4. Step 4: Simplify right side
   407.53x = 703,396.72
5. Step 5: Solve for x
   x = 703,396.72/407.53
6. Step 6: Final answer
   x = 1,725.99