Finding the Third Proportional to 22,198 and 48,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,198 : 48,770.50 = 48,770.50 : x
2. Step 2: Convert to fraction form
   22,198/48,770.50 = 48,770.50/x
3. Step 3: Cross multiply
   22,198x = 48,770.50 × 48,770.50
4. Step 4: Simplify right side
   22,198x = 2,378,561,670.25
5. Step 5: Solve for x
   x = 2,378,561,670.25/22,198
6. Step 6: Final answer
   x = 107,152.07