Finding the Third Proportional to 69,830 and 150,729

Step by Step Solution

1. Step 1: Write the proportion equation
   69,830 : 150,729 = 150,729 : x
2. Step 2: Convert to fraction form
   69,830/150,729 = 150,729/x
3. Step 3: Cross multiply
   69,830x = 150,729 × 150,729
4. Step 4: Simplify right side
   69,830x = 22,719,231,441
5. Step 5: Solve for x
   x = 22,719,231,441/69,830
6. Step 6: Final answer
   x = 325,350.59