Finding the Third Proportional to 52,933 and 110,222

Step by Step Solution

1. Step 1: Write the proportion equation
   52,933 : 110,222 = 110,222 : x
2. Step 2: Convert to fraction form
   52,933/110,222 = 110,222/x
3. Step 3: Cross multiply
   52,933x = 110,222 × 110,222
4. Step 4: Simplify right side
   52,933x = 12,148,889,284
5. Step 5: Solve for x
   x = 12,148,889,284/52,933
6. Step 6: Final answer
   x = 229,514.47