Finding the Third Proportional to 378,123 and 567,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,123 : 567,184.50 = 567,184.50 : x
2. Step 2: Convert to fraction form
   378,123/567,184.50 = 567,184.50/x
3. Step 3: Cross multiply
   378,123x = 567,184.50 × 567,184.50
4. Step 4: Simplify right side
   378,123x = 321,698,257,040.25
5. Step 5: Solve for x
   x = 321,698,257,040.25/378,123
6. Step 6: Final answer
   x = 850,776.75