Finding the Third Proportional to 354,677 and 478,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   354,677 : 478,519.50 = 478,519.50 : x
2. Step 2: Convert to fraction form
   354,677/478,519.50 = 478,519.50/x
3. Step 3: Cross multiply
   354,677x = 478,519.50 × 478,519.50
4. Step 4: Simplify right side
   354,677x = 228,980,911,880.25
5. Step 5: Solve for x
   x = 228,980,911,880.25/354,677
6. Step 6: Final answer
   x = 645,604.06