Finding the Third Proportional to 150,649.50 and 206,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,649.50 : 206,575.50 = 206,575.50 : x
2. Step 2: Convert to fraction form
   150,649.50/206,575.50 = 206,575.50/x
3. Step 3: Cross multiply
   150,649.50x = 206,575.50 × 206,575.50
4. Step 4: Simplify right side
   150,649.50x = 42,673,437,200.25
5. Step 5: Solve for x
   x = 42,673,437,200.25/150,649.50
6. Step 6: Final answer
   x = 283,263.05