Finding the Third Proportional to 51,772 and 111,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,772 : 111,699.50 = 111,699.50 : x
2. Step 2: Convert to fraction form
   51,772/111,699.50 = 111,699.50/x
3. Step 3: Cross multiply
   51,772x = 111,699.50 × 111,699.50
4. Step 4: Simplify right side
   51,772x = 12,476,778,300.25
5. Step 5: Solve for x
   x = 12,476,778,300.25/51,772
6. Step 6: Final answer
   x = 240,994.71