Finding the Third Proportional to 150,543 and 206,429.06

Step by Step Solution

1. Step 1: Write the proportion equation
   150,543 : 206,429.06 = 206,429.06 : x
2. Step 2: Convert to fraction form
   150,543/206,429.06 = 206,429.06/x
3. Step 3: Cross multiply
   150,543x = 206,429.06 × 206,429.06
4. Step 4: Simplify right side
   150,543x = 42,612,957,844.63
5. Step 5: Solve for x
   x = 42,612,957,844.63/150,543
6. Step 6: Final answer
   x = 283,061.70