Finding the Third Proportional to 384,336 and 561,693

Step by Step Solution

1. Step 1: Write the proportion equation
   384,336 : 561,693 = 561,693 : x
2. Step 2: Convert to fraction form
   384,336/561,693 = 561,693/x
3. Step 3: Cross multiply
   384,336x = 561,693 × 561,693
4. Step 4: Simplify right side
   384,336x = 315,499,026,249
5. Step 5: Solve for x
   x = 315,499,026,249/384,336
6. Step 6: Final answer
   x = 820,893.77