Finding the Third Proportional to 109,301 and 160,255

Step by Step Solution

1. Step 1: Write the proportion equation
   109,301 : 160,255 = 160,255 : x
2. Step 2: Convert to fraction form
   109,301/160,255 = 160,255/x
3. Step 3: Cross multiply
   109,301x = 160,255 × 160,255
4. Step 4: Simplify right side
   109,301x = 25,681,665,025
5. Step 5: Solve for x
   x = 25,681,665,025/109,301
6. Step 6: Final answer
   x = 234,962.76