Finding the Third Proportional to 51,614 and 105,416

Step by Step Solution

1. Step 1: Write the proportion equation
   51,614 : 105,416 = 105,416 : x
2. Step 2: Convert to fraction form
   51,614/105,416 = 105,416/x
3. Step 3: Cross multiply
   51,614x = 105,416 × 105,416
4. Step 4: Simplify right side
   51,614x = 11,112,533,056
5. Step 5: Solve for x
   x = 11,112,533,056/51,614
6. Step 6: Final answer
   x = 215,300.75