Finding the Third Proportional to 410,424 and 615,648

Step by Step Solution

1. Step 1: Write the proportion equation
   410,424 : 615,648 = 615,648 : x
2. Step 2: Convert to fraction form
   410,424/615,648 = 615,648/x
3. Step 3: Cross multiply
   410,424x = 615,648 × 615,648
4. Step 4: Simplify right side
   410,424x = 379,022,459,904
5. Step 5: Solve for x
   x = 379,022,459,904/410,424
6. Step 6: Final answer
   x = 923,490.00