Finding the Third Proportional to 51,752 and 109,768

Step by Step Solution

1. Step 1: Write the proportion equation
   51,752 : 109,768 = 109,768 : x
2. Step 2: Convert to fraction form
   51,752/109,768 = 109,768/x
3. Step 3: Cross multiply
   51,752x = 109,768 × 109,768
4. Step 4: Simplify right side
   51,752x = 12,049,013,824
5. Step 5: Solve for x
   x = 12,049,013,824/51,752
6. Step 6: Final answer
   x = 232,822.19