Finding the Third Proportional to 109,080 and 160,164

Step by Step Solution

1. Step 1: Write the proportion equation
   109,080 : 160,164 = 160,164 : x
2. Step 2: Convert to fraction form
   109,080/160,164 = 160,164/x
3. Step 3: Cross multiply
   109,080x = 160,164 × 160,164
4. Step 4: Simplify right side
   109,080x = 25,652,506,896
5. Step 5: Solve for x
   x = 25,652,506,896/109,080
6. Step 6: Final answer
   x = 235,171.50