Finding the Third Proportional to 52,772 and 111,011

Step by Step Solution

1. Step 1: Write the proportion equation
   52,772 : 111,011 = 111,011 : x
2. Step 2: Convert to fraction form
   52,772/111,011 = 111,011/x
3. Step 3: Cross multiply
   52,772x = 111,011 × 111,011
4. Step 4: Simplify right side
   52,772x = 12,323,442,121
5. Step 5: Solve for x
   x = 12,323,442,121/52,772
6. Step 6: Final answer
   x = 233,522.36