Finding the Third Proportional to 121,411.13 and 257,616

Step by Step Solution

1. Step 1: Write the proportion equation
   121,411.13 : 257,616 = 257,616 : x
2. Step 2: Convert to fraction form
   121,411.13/257,616 = 257,616/x
3. Step 3: Cross multiply
   121,411.13x = 257,616 × 257,616
4. Step 4: Simplify right side
   121,411.13x = 66,366,003,456
5. Step 5: Solve for x
   x = 66,366,003,456/121,411.13
6. Step 6: Final answer
   x = 546,622.09