Finding the Third Proportional to 65,624 and 142,736

Step by Step Solution

1. Step 1: Write the proportion equation
   65,624 : 142,736 = 142,736 : x
2. Step 2: Convert to fraction form
   65,624/142,736 = 142,736/x
3. Step 3: Cross multiply
   65,624x = 142,736 × 142,736
4. Step 4: Simplify right side
   65,624x = 20,373,565,696
5. Step 5: Solve for x
   x = 20,373,565,696/65,624
6. Step 6: Final answer
   x = 310,459.07