Finding the Third Proportional to 53,312 and 111,648

Step by Step Solution

1. Step 1: Write the proportion equation
   53,312 : 111,648 = 111,648 : x
2. Step 2: Convert to fraction form
   53,312/111,648 = 111,648/x
3. Step 3: Cross multiply
   53,312x = 111,648 × 111,648
4. Step 4: Simplify right side
   53,312x = 12,465,275,904
5. Step 5: Solve for x
   x = 12,465,275,904/53,312
6. Step 6: Final answer
   x = 233,817.45