Finding the Third Proportional to 59,154 and 123,294

Step by Step Solution

1. Step 1: Write the proportion equation
   59,154 : 123,294 = 123,294 : x
2. Step 2: Convert to fraction form
   59,154/123,294 = 123,294/x
3. Step 3: Cross multiply
   59,154x = 123,294 × 123,294
4. Step 4: Simplify right side
   59,154x = 15,201,410,436
5. Step 5: Solve for x
   x = 15,201,410,436/59,154
6. Step 6: Final answer
   x = 256,980.26