Finding the Third Proportional to 477,432 and 648,789

Step by Step Solution

1. Step 1: Write the proportion equation
   477,432 : 648,789 = 648,789 : x
2. Step 2: Convert to fraction form
   477,432/648,789 = 648,789/x
3. Step 3: Cross multiply
   477,432x = 648,789 × 648,789
4. Step 4: Simplify right side
   477,432x = 420,927,166,521
5. Step 5: Solve for x
   x = 420,927,166,521/477,432
6. Step 6: Final answer
   x = 881,648.42