Finding the Third Proportional to 53,218 and 116,804

Step by Step Solution

1. Step 1: Write the proportion equation
   53,218 : 116,804 = 116,804 : x
2. Step 2: Convert to fraction form
   53,218/116,804 = 116,804/x
3. Step 3: Cross multiply
   53,218x = 116,804 × 116,804
4. Step 4: Simplify right side
   53,218x = 13,643,174,416
5. Step 5: Solve for x
   x = 13,643,174,416/53,218
6. Step 6: Final answer
   x = 256,363.91