Finding the Third Proportional to 65,094 and 142,642

Step by Step Solution

1. Step 1: Write the proportion equation
   65,094 : 142,642 = 142,642 : x
2. Step 2: Convert to fraction form
   65,094/142,642 = 142,642/x
3. Step 3: Cross multiply
   65,094x = 142,642 × 142,642
4. Step 4: Simplify right side
   65,094x = 20,346,740,164
5. Step 5: Solve for x
   x = 20,346,740,164/65,094
6. Step 6: Final answer
   x = 312,574.74