Finding the Third Proportional to 152,667 and 216,698

Step by Step Solution

1. Step 1: Write the proportion equation
   152,667 : 216,698 = 216,698 : x
2. Step 2: Convert to fraction form
   152,667/216,698 = 216,698/x
3. Step 3: Cross multiply
   152,667x = 216,698 × 216,698
4. Step 4: Simplify right side
   152,667x = 46,958,023,204
5. Step 5: Solve for x
   x = 46,958,023,204/152,667
6. Step 6: Final answer
   x = 307,584.63