Finding the Third Proportional to 150,688.50 and 206,624.25

Step by Step Solution

1. Step 1: Write the proportion equation
   150,688.50 : 206,624.25 = 206,624.25 : x
2. Step 2: Convert to fraction form
   150,688.50/206,624.25 = 206,624.25/x
3. Step 3: Cross multiply
   150,688.50x = 206,624.25 × 206,624.25
4. Step 4: Simplify right side
   150,688.50x = 42,693,580,688.06
5. Step 5: Solve for x
   x = 42,693,580,688.06/150,688.50
6. Step 6: Final answer
   x = 283,323.42