Finding the Third Proportional to 59,431.50 and 123,756.75

Step by Step Solution

1. Step 1: Write the proportion equation
   59,431.50 : 123,756.75 = 123,756.75 : x
2. Step 2: Convert to fraction form
   59,431.50/123,756.75 = 123,756.75/x
3. Step 3: Cross multiply
   59,431.50x = 123,756.75 × 123,756.75
4. Step 4: Simplify right side
   59,431.50x = 15,315,733,170.56
5. Step 5: Solve for x
   x = 15,315,733,170.56/59,431.50
6. Step 6: Final answer
   x = 257,703.96