Finding the Third Proportional to 150,573 and 206,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,573 : 206,467.50 = 206,467.50 : x
2. Step 2: Convert to fraction form
   150,573/206,467.50 = 206,467.50/x
3. Step 3: Cross multiply
   150,573x = 206,467.50 × 206,467.50
4. Step 4: Simplify right side
   150,573x = 42,628,828,556.25
5. Step 5: Solve for x
   x = 42,628,828,556.25/150,573
6. Step 6: Final answer
   x = 283,110.71