Finding the Third Proportional to 51,645 and 113,118

Step by Step Solution

1. Step 1: Write the proportion equation
   51,645 : 113,118 = 113,118 : x
2. Step 2: Convert to fraction form
   51,645/113,118 = 113,118/x
3. Step 3: Cross multiply
   51,645x = 113,118 × 113,118
4. Step 4: Simplify right side
   51,645x = 12,795,681,924
5. Step 5: Solve for x
   x = 12,795,681,924/51,645
6. Step 6: Final answer
   x = 247,762.26