Finding the Third Proportional to 69,667 and 152,684

Step by Step Solution

1. Step 1: Write the proportion equation
   69,667 : 152,684 = 152,684 : x
2. Step 2: Convert to fraction form
   69,667/152,684 = 152,684/x
3. Step 3: Cross multiply
   69,667x = 152,684 × 152,684
4. Step 4: Simplify right side
   69,667x = 23,312,403,856
5. Step 5: Solve for x
   x = 23,312,403,856/69,667
6. Step 6: Final answer
   x = 334,626.21