Finding the Third Proportional to 45,638.44 and 109,152.56

Step by Step Solution

1. Step 1: Write the proportion equation
   45,638.44 : 109,152.56 = 109,152.56 : x
2. Step 2: Convert to fraction form
   45,638.44/109,152.56 = 109,152.56/x
3. Step 3: Cross multiply
   45,638.44x = 109,152.56 × 109,152.56
4. Step 4: Simplify right side
   45,638.44x = 11,914,281,900.32
5. Step 5: Solve for x
   x = 11,914,281,900.32/45,638.44
6. Step 6: Final answer
   x = 261,058.06