Finding the Third Proportional to 51,817 and 110,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,817 : 110,983.50 = 110,983.50 : x
2. Step 2: Convert to fraction form
   51,817/110,983.50 = 110,983.50/x
3. Step 3: Cross multiply
   51,817x = 110,983.50 × 110,983.50
4. Step 4: Simplify right side
   51,817x = 12,317,337,272.25
5. Step 5: Solve for x
   x = 12,317,337,272.25/51,817
6. Step 6: Final answer
   x = 237,708.42