Finding the Third Proportional to 155,646 and 218,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   155,646 : 218,584.50 = 218,584.50 : x
2. Step 2: Convert to fraction form
   155,646/218,584.50 = 218,584.50/x
3. Step 3: Cross multiply
   155,646x = 218,584.50 × 218,584.50
4. Step 4: Simplify right side
   155,646x = 47,779,183,640.25
5. Step 5: Solve for x
   x = 47,779,183,640.25/155,646
6. Step 6: Final answer
   x = 306,973.41