Finding the Third Proportional to 150,507 and 204,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,507 : 204,997.50 = 204,997.50 : x
2. Step 2: Convert to fraction form
   150,507/204,997.50 = 204,997.50/x
3. Step 3: Cross multiply
   150,507x = 204,997.50 × 204,997.50
4. Step 4: Simplify right side
   150,507x = 42,023,975,006.25
5. Step 5: Solve for x
   x = 42,023,975,006.25/150,507
6. Step 6: Final answer
   x = 279,216.08