Finding the Third Proportional to 65,736 and 100,308

Step by Step Solution

1. Step 1: Write the proportion equation
   65,736 : 100,308 = 100,308 : x
2. Step 2: Convert to fraction form
   65,736/100,308 = 100,308/x
3. Step 3: Cross multiply
   65,736x = 100,308 × 100,308
4. Step 4: Simplify right side
   65,736x = 10,061,694,864
5. Step 5: Solve for x
   x = 10,061,694,864/65,736
6. Step 6: Final answer
   x = 153,062.17