Finding the Third Proportional to 106,558.50 and 160,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,558.50 : 160,111.50 = 160,111.50 : x
2. Step 2: Convert to fraction form
   106,558.50/160,111.50 = 160,111.50/x
3. Step 3: Cross multiply
   106,558.50x = 160,111.50 × 160,111.50
4. Step 4: Simplify right side
   106,558.50x = 25,635,692,432.25
5. Step 5: Solve for x
   x = 25,635,692,432.25/106,558.50
6. Step 6: Final answer
   x = 240,578.58