Finding the Third Proportional to 59,514.75 and 123,961.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,514.75 : 123,961.50 = 123,961.50 : x
2. Step 2: Convert to fraction form
   59,514.75/123,961.50 = 123,961.50/x
3. Step 3: Cross multiply
   59,514.75x = 123,961.50 × 123,961.50
4. Step 4: Simplify right side
   59,514.75x = 15,366,453,482.25
5. Step 5: Solve for x
   x = 15,366,453,482.25/59,514.75
6. Step 6: Final answer
   x = 258,195.72