Finding the Third Proportional to 53,314 and 111,652

Step by Step Solution

1. Step 1: Write the proportion equation
   53,314 : 111,652 = 111,652 : x
2. Step 2: Convert to fraction form
   53,314/111,652 = 111,652/x
3. Step 3: Cross multiply
   53,314x = 111,652 × 111,652
4. Step 4: Simplify right side
   53,314x = 12,466,169,104
5. Step 5: Solve for x
   x = 12,466,169,104/53,314
6. Step 6: Final answer
   x = 233,825.43