Finding the Third Proportional to 69,744 and 152,610

Step by Step Solution

1. Step 1: Write the proportion equation
   69,744 : 152,610 = 152,610 : x
2. Step 2: Convert to fraction form
   69,744/152,610 = 152,610/x
3. Step 3: Cross multiply
   69,744x = 152,610 × 152,610
4. Step 4: Simplify right side
   69,744x = 23,289,812,100
5. Step 5: Solve for x
   x = 23,289,812,100/69,744
6. Step 6: Final answer
   x = 333,932.84