Finding the Third Proportional to 65,173 and 142,804

Step by Step Solution

1. Step 1: Write the proportion equation
   65,173 : 142,804 = 142,804 : x
2. Step 2: Convert to fraction form
   65,173/142,804 = 142,804/x
3. Step 3: Cross multiply
   65,173x = 142,804 × 142,804
4. Step 4: Simplify right side
   65,173x = 20,392,982,416
5. Step 5: Solve for x
   x = 20,392,982,416/65,173
6. Step 6: Final answer
   x = 312,905.38