Finding the Third Proportional to 255,948 and 377,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   255,948 : 377,362.50 = 377,362.50 : x
2. Step 2: Convert to fraction form
   255,948/377,362.50 = 377,362.50/x
3. Step 3: Cross multiply
   255,948x = 377,362.50 × 377,362.50
4. Step 4: Simplify right side
   255,948x = 142,402,456,406.25
5. Step 5: Solve for x
   x = 142,402,456,406.25/255,948
6. Step 6: Final answer
   x = 556,372.61