Finding the Third Proportional to 65,080 and 140,164

Step by Step Solution

1. Step 1: Write the proportion equation
   65,080 : 140,164 = 140,164 : x
2. Step 2: Convert to fraction form
   65,080/140,164 = 140,164/x
3. Step 3: Cross multiply
   65,080x = 140,164 × 140,164
4. Step 4: Simplify right side
   65,080x = 19,645,946,896
5. Step 5: Solve for x
   x = 19,645,946,896/65,080
6. Step 6: Final answer
   x = 301,873.80