Finding the Third Proportional to 385,980 and 612,648

Step by Step Solution

1. Step 1: Write the proportion equation
   385,980 : 612,648 = 612,648 : x
2. Step 2: Convert to fraction form
   385,980/612,648 = 612,648/x
3. Step 3: Cross multiply
   385,980x = 612,648 × 612,648
4. Step 4: Simplify right side
   385,980x = 375,337,571,904
5. Step 5: Solve for x
   x = 375,337,571,904/385,980
6. Step 6: Final answer
   x = 972,427.51