Finding the Third Proportional to 51,210 and 111,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,210 : 111,799.50 = 111,799.50 : x
2. Step 2: Convert to fraction form
   51,210/111,799.50 = 111,799.50/x
3. Step 3: Cross multiply
   51,210x = 111,799.50 × 111,799.50
4. Step 4: Simplify right side
   51,210x = 12,499,128,200.25
5. Step 5: Solve for x
   x = 12,499,128,200.25/51,210
6. Step 6: Final answer
   x = 244,075.93