Finding the Third Proportional to 52,256 and 112,772

Step by Step Solution

1. Step 1: Write the proportion equation
   52,256 : 112,772 = 112,772 : x
2. Step 2: Convert to fraction form
   52,256/112,772 = 112,772/x
3. Step 3: Cross multiply
   52,256x = 112,772 × 112,772
4. Step 4: Simplify right side
   52,256x = 12,717,523,984
5. Step 5: Solve for x
   x = 12,717,523,984/52,256
6. Step 6: Final answer
   x = 243,369.64