Finding the Third Proportional to 109,077 and 160,024

Step by Step Solution

1. Step 1: Write the proportion equation
   109,077 : 160,024 = 160,024 : x
2. Step 2: Convert to fraction form
   109,077/160,024 = 160,024/x
3. Step 3: Cross multiply
   109,077x = 160,024 × 160,024
4. Step 4: Simplify right side
   109,077x = 25,607,680,576
5. Step 5: Solve for x
   x = 25,607,680,576/109,077
6. Step 6: Final answer
   x = 234,767.00