Finding the Third Proportional to 49,638 and 107,051.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,638 : 107,051.50 = 107,051.50 : x
2. Step 2: Convert to fraction form
   49,638/107,051.50 = 107,051.50/x
3. Step 3: Cross multiply
   49,638x = 107,051.50 × 107,051.50
4. Step 4: Simplify right side
   49,638x = 11,460,023,652.25
5. Step 5: Solve for x
   x = 11,460,023,652.25/49,638
6. Step 6: Final answer
   x = 230,871.99