Finding the Third Proportional to 385,848 and 597,384

Step by Step Solution

1. Step 1: Write the proportion equation
   385,848 : 597,384 = 597,384 : x
2. Step 2: Convert to fraction form
   385,848/597,384 = 597,384/x
3. Step 3: Cross multiply
   385,848x = 597,384 × 597,384
4. Step 4: Simplify right side
   385,848x = 356,867,643,456
5. Step 5: Solve for x
   x = 356,867,643,456/385,848
6. Step 6: Final answer
   x = 924,891.78