Finding the Third Proportional to 477,456 and 648,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   477,456 : 648,823.50 = 648,823.50 : x
2. Step 2: Convert to fraction form
   477,456/648,823.50 = 648,823.50/x
3. Step 3: Cross multiply
   477,456x = 648,823.50 × 648,823.50
4. Step 4: Simplify right side
   477,456x = 420,971,934,152.25
5. Step 5: Solve for x
   x = 420,971,934,152.25/477,456
6. Step 6: Final answer
   x = 881,697.86