Finding the Third Proportional to 51,643 and 113,113

Step by Step Solution

1. Step 1: Write the proportion equation
   51,643 : 113,113 = 113,113 : x
2. Step 2: Convert to fraction form
   51,643/113,113 = 113,113/x
3. Step 3: Cross multiply
   51,643x = 113,113 × 113,113
4. Step 4: Simplify right side
   51,643x = 12,794,550,769
5. Step 5: Solve for x
   x = 12,794,550,769/51,643
6. Step 6: Final answer
   x = 247,749.95