Finding the Third Proportional to 109,084 and 160,032

Step by Step Solution

1. Step 1: Write the proportion equation
   109,084 : 160,032 = 160,032 : x
2. Step 2: Convert to fraction form
   109,084/160,032 = 160,032/x
3. Step 3: Cross multiply
   109,084x = 160,032 × 160,032
4. Step 4: Simplify right side
   109,084x = 25,610,241,024
5. Step 5: Solve for x
   x = 25,610,241,024/109,084
6. Step 6: Final answer
   x = 234,775.41