Finding the Third Proportional to 150,696 and 206,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,696 : 206,635.50 = 206,635.50 : x
2. Step 2: Convert to fraction form
   150,696/206,635.50 = 206,635.50/x
3. Step 3: Cross multiply
   150,696x = 206,635.50 × 206,635.50
4. Step 4: Simplify right side
   150,696x = 42,698,229,860.25
5. Step 5: Solve for x
   x = 42,698,229,860.25/150,696
6. Step 6: Final answer
   x = 283,340.17