Finding the Third Proportional to 51,906 and 113,506

Step by Step Solution

1. Step 1: Write the proportion equation
   51,906 : 113,506 = 113,506 : x
2. Step 2: Convert to fraction form
   51,906/113,506 = 113,506/x
3. Step 3: Cross multiply
   51,906x = 113,506 × 113,506
4. Step 4: Simplify right side
   51,906x = 12,883,612,036
5. Step 5: Solve for x
   x = 12,883,612,036/51,906
6. Step 6: Final answer
   x = 248,210.46