Finding the Third Proportional to 48,669 and 105,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,669 : 105,853.50 = 105,853.50 : x
2. Step 2: Convert to fraction form
   48,669/105,853.50 = 105,853.50/x
3. Step 3: Cross multiply
   48,669x = 105,853.50 × 105,853.50
4. Step 4: Simplify right side
   48,669x = 11,204,963,462.25
5. Step 5: Solve for x
   x = 11,204,963,462.25/48,669
6. Step 6: Final answer
   x = 230,227.94