Finding the Third Proportional to 598,336 and 919,648

Step by Step Solution

1. Step 1: Write the proportion equation
   598,336 : 919,648 = 919,648 : x
2. Step 2: Convert to fraction form
   598,336/919,648 = 919,648/x
3. Step 3: Cross multiply
   598,336x = 919,648 × 919,648
4. Step 4: Simplify right side
   598,336x = 845,752,443,904
5. Step 5: Solve for x
   x = 845,752,443,904/598,336
6. Step 6: Final answer
   x = 1,413,507.53