Finding the Third Proportional to 59,141.25 and 123,264

Step by Step Solution

1. Step 1: Write the proportion equation
   59,141.25 : 123,264 = 123,264 : x
2. Step 2: Convert to fraction form
   59,141.25/123,264 = 123,264/x
3. Step 3: Cross multiply
   59,141.25x = 123,264 × 123,264
4. Step 4: Simplify right side
   59,141.25x = 15,194,013,696
5. Step 5: Solve for x
   x = 15,194,013,696/59,141.25
6. Step 6: Final answer
   x = 256,910.59