Finding the Third Proportional to 342,648 and 736,326

Step by Step Solution

1. Step 1: Write the proportion equation
   342,648 : 736,326 = 736,326 : x
2. Step 2: Convert to fraction form
   342,648/736,326 = 736,326/x
3. Step 3: Cross multiply
   342,648x = 736,326 × 736,326
4. Step 4: Simplify right side
   342,648x = 542,175,978,276
5. Step 5: Solve for x
   x = 542,175,978,276/342,648
6. Step 6: Final answer
   x = 1,582,311.81