Finding the Third Proportional to 100,684 and 235,150

Step by Step Solution

1. Step 1: Write the proportion equation
   100,684 : 235,150 = 235,150 : x
2. Step 2: Convert to fraction form
   100,684/235,150 = 235,150/x
3. Step 3: Cross multiply
   100,684x = 235,150 × 235,150
4. Step 4: Simplify right side
   100,684x = 55,295,522,500
5. Step 5: Solve for x
   x = 55,295,522,500/100,684
6. Step 6: Final answer
   x = 549,198.71