Finding the Third Proportional to 52,596 and 111,888

Step by Step Solution

1. Step 1: Write the proportion equation
   52,596 : 111,888 = 111,888 : x
2. Step 2: Convert to fraction form
   52,596/111,888 = 111,888/x
3. Step 3: Cross multiply
   52,596x = 111,888 × 111,888
4. Step 4: Simplify right side
   52,596x = 12,518,924,544
5. Step 5: Solve for x
   x = 12,518,924,544/52,596
6. Step 6: Final answer
   x = 238,020.47