Finding the Third Proportional to 92,164 and 140,708

Step by Step Solution

1. Step 1: Write the proportion equation
   92,164 : 140,708 = 140,708 : x
2. Step 2: Convert to fraction form
   92,164/140,708 = 140,708/x
3. Step 3: Cross multiply
   92,164x = 140,708 × 140,708
4. Step 4: Simplify right side
   92,164x = 19,798,741,264
5. Step 5: Solve for x
   x = 19,798,741,264/92,164
6. Step 6: Final answer
   x = 214,820.77