Finding the Third Proportional to 65,802 and 150,654

Step by Step Solution

1. Step 1: Write the proportion equation
   65,802 : 150,654 = 150,654 : x
2. Step 2: Convert to fraction form
   65,802/150,654 = 150,654/x
3. Step 3: Cross multiply
   65,802x = 150,654 × 150,654
4. Step 4: Simplify right side
   65,802x = 22,696,627,716
5. Step 5: Solve for x
   x = 22,696,627,716/65,802
6. Step 6: Final answer
   x = 344,923.07