Finding the Third Proportional to 69,682 and 152,452

Step by Step Solution

1. Step 1: Write the proportion equation
   69,682 : 152,452 = 152,452 : x
2. Step 2: Convert to fraction form
   69,682/152,452 = 152,452/x
3. Step 3: Cross multiply
   69,682x = 152,452 × 152,452
4. Step 4: Simplify right side
   69,682x = 23,241,612,304
5. Step 5: Solve for x
   x = 23,241,612,304/69,682
6. Step 6: Final answer
   x = 333,538.25