Finding the Third Proportional to 51,828 and 106,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,828 : 106,927.50 = 106,927.50 : x
2. Step 2: Convert to fraction form
   51,828/106,927.50 = 106,927.50/x
3. Step 3: Cross multiply
   51,828x = 106,927.50 × 106,927.50
4. Step 4: Simplify right side
   51,828x = 11,433,490,256.25
5. Step 5: Solve for x
   x = 11,433,490,256.25/51,828
6. Step 6: Final answer
   x = 220,604.50