Finding the Third Proportional to 51,756 and 105,414

Step by Step Solution

1. Step 1: Write the proportion equation
   51,756 : 105,414 = 105,414 : x
2. Step 2: Convert to fraction form
   51,756/105,414 = 105,414/x
3. Step 3: Cross multiply
   51,756x = 105,414 × 105,414
4. Step 4: Simplify right side
   51,756x = 11,112,111,396
5. Step 5: Solve for x
   x = 11,112,111,396/51,756
6. Step 6: Final answer
   x = 214,701.90