Finding the Third Proportional to 52,884 and 111,222

Step by Step Solution

1. Step 1: Write the proportion equation
   52,884 : 111,222 = 111,222 : x
2. Step 2: Convert to fraction form
   52,884/111,222 = 111,222/x
3. Step 3: Cross multiply
   52,884x = 111,222 × 111,222
4. Step 4: Simplify right side
   52,884x = 12,370,333,284
5. Step 5: Solve for x
   x = 12,370,333,284/52,884
6. Step 6: Final answer
   x = 233,914.48