Finding the Third Proportional to 65,744 and 100,254

Step by Step Solution

1. Step 1: Write the proportion equation
   65,744 : 100,254 = 100,254 : x
2. Step 2: Convert to fraction form
   65,744/100,254 = 100,254/x
3. Step 3: Cross multiply
   65,744x = 100,254 × 100,254
4. Step 4: Simplify right side
   65,744x = 10,050,864,516
5. Step 5: Solve for x
   x = 10,050,864,516/65,744
6. Step 6: Final answer
   x = 152,878.81