Finding the Third Proportional to 150,624 and 206,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,624 : 206,536.50 = 206,536.50 : x
2. Step 2: Convert to fraction form
   150,624/206,536.50 = 206,536.50/x
3. Step 3: Cross multiply
   150,624x = 206,536.50 × 206,536.50
4. Step 4: Simplify right side
   150,624x = 42,657,325,832.25
5. Step 5: Solve for x
   x = 42,657,325,832.25/150,624
6. Step 6: Final answer
   x = 283,204.04