Finding the Third Proportional to 69,794 and 152,626

Step by Step Solution

1. Step 1: Write the proportion equation
   69,794 : 152,626 = 152,626 : x
2. Step 2: Convert to fraction form
   69,794/152,626 = 152,626/x
3. Step 3: Cross multiply
   69,794x = 152,626 × 152,626
4. Step 4: Simplify right side
   69,794x = 23,294,695,876
5. Step 5: Solve for x
   x = 23,294,695,876/69,794
6. Step 6: Final answer
   x = 333,763.59