Finding the Third Proportional to 319,255.50 and 478,005

Step by Step Solution

1. Step 1: Write the proportion equation
   319,255.50 : 478,005 = 478,005 : x
2. Step 2: Convert to fraction form
   319,255.50/478,005 = 478,005/x
3. Step 3: Cross multiply
   319,255.50x = 478,005 × 478,005
4. Step 4: Simplify right side
   319,255.50x = 228,488,780,025
5. Step 5: Solve for x
   x = 228,488,780,025/319,255.50
6. Step 6: Final answer
   x = 715,692.54