Finding the Third Proportional to 51,770 and 112,003

Step by Step Solution

1. Step 1: Write the proportion equation
   51,770 : 112,003 = 112,003 : x
2. Step 2: Convert to fraction form
   51,770/112,003 = 112,003/x
3. Step 3: Cross multiply
   51,770x = 112,003 × 112,003
4. Step 4: Simplify right side
   51,770x = 12,544,672,009
5. Step 5: Solve for x
   x = 12,544,672,009/51,770
6. Step 6: Final answer
   x = 242,315.47