Finding the Third Proportional to 109,788.75 and 160,498.13

Step by Step Solution

1. Step 1: Write the proportion equation
   109,788.75 : 160,498.13 = 160,498.13 : x
2. Step 2: Convert to fraction form
   109,788.75/160,498.13 = 160,498.13/x
3. Step 3: Cross multiply
   109,788.75x = 160,498.13 × 160,498.13
4. Step 4: Simplify right side
   109,788.75x = 25,759,648,128.52
5. Step 5: Solve for x
   x = 25,759,648,128.52/109,788.75
6. Step 6: Final answer
   x = 234,629.21