Finding the Third Proportional to 51,828 and 107,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,828 : 107,345.50 = 107,345.50 : x
2. Step 2: Convert to fraction form
   51,828/107,345.50 = 107,345.50/x
3. Step 3: Cross multiply
   51,828x = 107,345.50 × 107,345.50
4. Step 4: Simplify right side
   51,828x = 11,523,056,370.25
5. Step 5: Solve for x
   x = 11,523,056,370.25/51,828
6. Step 6: Final answer
   x = 222,332.65