Finding the Third Proportional to 59,585.25 and 123,294.75

Step by Step Solution

1. Step 1: Write the proportion equation
   59,585.25 : 123,294.75 = 123,294.75 : x
2. Step 2: Convert to fraction form
   59,585.25/123,294.75 = 123,294.75/x
3. Step 3: Cross multiply
   59,585.25x = 123,294.75 × 123,294.75
4. Step 4: Simplify right side
   59,585.25x = 15,201,595,377.56
5. Step 5: Solve for x
   x = 15,201,595,377.56/59,585.25
6. Step 6: Final answer
   x = 255,123.46