Finding the Third Proportional to 264,018.50 and 378,340.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,018.50 : 378,340.50 = 378,340.50 : x
2. Step 2: Convert to fraction form
   264,018.50/378,340.50 = 378,340.50/x
3. Step 3: Cross multiply
   264,018.50x = 378,340.50 × 378,340.50
4. Step 4: Simplify right side
   264,018.50x = 143,141,533,940.25
5. Step 5: Solve for x
   x = 143,141,533,940.25/264,018.50
6. Step 6: Final answer
   x = 542,164.79