Finding the Third Proportional to 51,598.50 and 105,383.63

Step by Step Solution

1. Step 1: Write the proportion equation
   51,598.50 : 105,383.63 = 105,383.63 : x
2. Step 2: Convert to fraction form
   51,598.50/105,383.63 = 105,383.63/x
3. Step 3: Cross multiply
   51,598.50x = 105,383.63 × 105,383.63
4. Step 4: Simplify right side
   51,598.50x = 11,105,708,418.14
5. Step 5: Solve for x
   x = 11,105,708,418.14/51,598.50
6. Step 6: Final answer
   x = 215,233.16