Finding the Third Proportional to 65,164 and 142,832

Step by Step Solution

1. Step 1: Write the proportion equation
   65,164 : 142,832 = 142,832 : x
2. Step 2: Convert to fraction form
   65,164/142,832 = 142,832/x
3. Step 3: Cross multiply
   65,164x = 142,832 × 142,832
4. Step 4: Simplify right side
   65,164x = 20,400,980,224
5. Step 5: Solve for x
   x = 20,400,980,224/65,164
6. Step 6: Final answer
   x = 313,071.33