Finding the Third Proportional to 150,542.50 and 206,426

Step by Step Solution

1. Step 1: Write the proportion equation
   150,542.50 : 206,426 = 206,426 : x
2. Step 2: Convert to fraction form
   150,542.50/206,426 = 206,426/x
3. Step 3: Cross multiply
   150,542.50x = 206,426 × 206,426
4. Step 4: Simplify right side
   150,542.50x = 42,611,693,476
5. Step 5: Solve for x
   x = 42,611,693,476/150,542.50
6. Step 6: Final answer
   x = 283,054.24