Finding the Third Proportional to 51,233.50 and 105,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,233.50 : 105,018.50 = 105,018.50 : x
2. Step 2: Convert to fraction form
   51,233.50/105,018.50 = 105,018.50/x
3. Step 3: Cross multiply
   51,233.50x = 105,018.50 × 105,018.50
4. Step 4: Simplify right side
   51,233.50x = 11,028,885,342.25
5. Step 5: Solve for x
   x = 11,028,885,342.25/51,233.50
6. Step 6: Final answer
   x = 215,267.07