Finding the Third Proportional to 57,362 and 123,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,362 : 123,027.50 = 123,027.50 : x
2. Step 2: Convert to fraction form
   57,362/123,027.50 = 123,027.50/x
3. Step 3: Cross multiply
   57,362x = 123,027.50 × 123,027.50
4. Step 4: Simplify right side
   57,362x = 15,135,765,756.25
5. Step 5: Solve for x
   x = 15,135,765,756.25/57,362
6. Step 6: Final answer
   x = 263,863.98