Finding the Third Proportional to 53,362 and 116,562

Step by Step Solution

1. Step 1: Write the proportion equation
   53,362 : 116,562 = 116,562 : x
2. Step 2: Convert to fraction form
   53,362/116,562 = 116,562/x
3. Step 3: Cross multiply
   53,362x = 116,562 × 116,562
4. Step 4: Simplify right side
   53,362x = 13,586,699,844
5. Step 5: Solve for x
   x = 13,586,699,844/53,362
6. Step 6: Final answer
   x = 254,613.77