Finding the Third Proportional to 57,820.50 and 123,275.25

Step by Step Solution

1. Step 1: Write the proportion equation
   57,820.50 : 123,275.25 = 123,275.25 : x
2. Step 2: Convert to fraction form
   57,820.50/123,275.25 = 123,275.25/x
3. Step 3: Cross multiply
   57,820.50x = 123,275.25 × 123,275.25
4. Step 4: Simplify right side
   57,820.50x = 15,196,787,262.56
5. Step 5: Solve for x
   x = 15,196,787,262.56/57,820.50
6. Step 6: Final answer
   x = 262,826.98