Finding the Third Proportional to 150,540.50 and 206,428.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,540.50 : 206,428.50 = 206,428.50 : x
2. Step 2: Convert to fraction form
   150,540.50/206,428.50 = 206,428.50/x
3. Step 3: Cross multiply
   150,540.50x = 206,428.50 × 206,428.50
4. Step 4: Simplify right side
   150,540.50x = 42,612,725,612.25
5. Step 5: Solve for x
   x = 42,612,725,612.25/150,540.50
6. Step 6: Final answer
   x = 283,064.86