Finding the Third Proportional to 53,360 and 116,558

Step by Step Solution

1. Step 1: Write the proportion equation
   53,360 : 116,558 = 116,558 : x
2. Step 2: Convert to fraction form
   53,360/116,558 = 116,558/x
3. Step 3: Cross multiply
   53,360x = 116,558 × 116,558
4. Step 4: Simplify right side
   53,360x = 13,585,767,364
5. Step 5: Solve for x
   x = 13,585,767,364/53,360
6. Step 6: Final answer
   x = 254,605.84