Finding the Third Proportional to 52,688 and 111,577

Step by Step Solution

1. Step 1: Write the proportion equation
   52,688 : 111,577 = 111,577 : x
2. Step 2: Convert to fraction form
   52,688/111,577 = 111,577/x
3. Step 3: Cross multiply
   52,688x = 111,577 × 111,577
4. Step 4: Simplify right side
   52,688x = 12,449,426,929
5. Step 5: Solve for x
   x = 12,449,426,929/52,688
6. Step 6: Final answer
   x = 236,285.81