Finding the Third Proportional to 59,457 and 123,834

Step by Step Solution

1. Step 1: Write the proportion equation
   59,457 : 123,834 = 123,834 : x
2. Step 2: Convert to fraction form
   59,457/123,834 = 123,834/x
3. Step 3: Cross multiply
   59,457x = 123,834 × 123,834
4. Step 4: Simplify right side
   59,457x = 15,334,859,556
5. Step 5: Solve for x
   x = 15,334,859,556/59,457
6. Step 6: Final answer
   x = 257,915.12