Finding the Third Proportional to 375,296 and 548,736

Step by Step Solution

1. Step 1: Write the proportion equation
   375,296 : 548,736 = 548,736 : x
2. Step 2: Convert to fraction form
   375,296/548,736 = 548,736/x
3. Step 3: Cross multiply
   375,296x = 548,736 × 548,736
4. Step 4: Simplify right side
   375,296x = 301,111,197,696
5. Step 5: Solve for x
   x = 301,111,197,696/375,296
6. Step 6: Final answer
   x = 802,329.89