Finding the Third Proportional to 150,674.50 and 206,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,674.50 : 206,605.50 = 206,605.50 : x
2. Step 2: Convert to fraction form
   150,674.50/206,605.50 = 206,605.50/x
3. Step 3: Cross multiply
   150,674.50x = 206,605.50 × 206,605.50
4. Step 4: Simplify right side
   150,674.50x = 42,685,832,630.25
5. Step 5: Solve for x
   x = 42,685,832,630.25/150,674.50
6. Step 6: Final answer
   x = 283,298.32