Finding the Third Proportional to 51,232.50 and 105,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,232.50 : 105,016.50 = 105,016.50 : x
2. Step 2: Convert to fraction form
   51,232.50/105,016.50 = 105,016.50/x
3. Step 3: Cross multiply
   51,232.50x = 105,016.50 × 105,016.50
4. Step 4: Simplify right side
   51,232.50x = 11,028,465,272.25
5. Step 5: Solve for x
   x = 11,028,465,272.25/51,232.50
6. Step 6: Final answer
   x = 215,263.07