Finding the Third Proportional to 65,864 and 139,566

Step by Step Solution

1. Step 1: Write the proportion equation
   65,864 : 139,566 = 139,566 : x
2. Step 2: Convert to fraction form
   65,864/139,566 = 139,566/x
3. Step 3: Cross multiply
   65,864x = 139,566 × 139,566
4. Step 4: Simplify right side
   65,864x = 19,478,668,356
5. Step 5: Solve for x
   x = 19,478,668,356/65,864
6. Step 6: Final answer
   x = 295,740.74