Finding the Third Proportional to 109,791 and 160,501

Step by Step Solution

1. Step 1: Write the proportion equation
   109,791 : 160,501 = 160,501 : x
2. Step 2: Convert to fraction form
   109,791/160,501 = 160,501/x
3. Step 3: Cross multiply
   109,791x = 160,501 × 160,501
4. Step 4: Simplify right side
   109,791x = 25,760,571,001
5. Step 5: Solve for x
   x = 25,760,571,001/109,791
6. Step 6: Final answer
   x = 234,632.81