Finding the Third Proportional to 118,384 and 253,616

Step by Step Solution

1. Step 1: Write the proportion equation
   118,384 : 253,616 = 253,616 : x
2. Step 2: Convert to fraction form
   118,384/253,616 = 253,616/x
3. Step 3: Cross multiply
   118,384x = 253,616 × 253,616
4. Step 4: Simplify right side
   118,384x = 64,321,075,456
5. Step 5: Solve for x
   x = 64,321,075,456/118,384
6. Step 6: Final answer
   x = 543,325.75