Finding the Third Proportional to 102,159 and 158,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,159 : 158,584.50 = 158,584.50 : x
2. Step 2: Convert to fraction form
   102,159/158,584.50 = 158,584.50/x
3. Step 3: Cross multiply
   102,159x = 158,584.50 × 158,584.50
4. Step 4: Simplify right side
   102,159x = 25,149,043,640.25
5. Step 5: Solve for x
   x = 25,149,043,640.25/102,159
6. Step 6: Final answer
   x = 246,175.51