Finding the Third Proportional to 65,406 and 100,660.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,406 : 100,660.50 = 100,660.50 : x
2. Step 2: Convert to fraction form
   65,406/100,660.50 = 100,660.50/x
3. Step 3: Cross multiply
   65,406x = 100,660.50 × 100,660.50
4. Step 4: Simplify right side
   65,406x = 10,132,536,260.25
5. Step 5: Solve for x
   x = 10,132,536,260.25/65,406
6. Step 6: Final answer
   x = 154,917.53